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Finding the Fourth Proportional to 856,012.80, 1,284,019.20 and 413,644.80

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Solution

The fourth proportional to 856,012.80, 1,284,019.20 and 413,644.80 is: 620,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,012.80 : 1,284,019.20 = 413,644.80 : x
  2. Step 2: Convert to fraction form
    856,012.80/1,284,019.20 = 413,644.80/x
  3. Step 3: Cross multiply
    856,012.80x = 1,284,019.20 × 413,644.80
  4. Step 4: Simplify right side
    856,012.80x = 531,127,865,180.16
  5. Step 5: Solve for x
    x = 531,127,865,180.16/856,012.80
  6. Step 6: Final answer
    x = 620,467.20

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.