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Finding the Fourth Proportional to 415,998.80, 574,076.82 and 225,012.20

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Solution

The fourth proportional to 415,998.80, 574,076.82 and 225,012.20 is: 310,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,998.80 : 574,076.82 = 225,012.20 : x
  2. Step 2: Convert to fraction form
    415,998.80/574,076.82 = 225,012.20/x
  3. Step 3: Cross multiply
    415,998.80x = 574,076.82 × 225,012.20
  4. Step 4: Simplify right side
    415,998.80x = 129,174,288,237.20
  5. Step 5: Solve for x
    x = 129,174,288,237.20/415,998.80
  6. Step 6: Final answer
    x = 310,516.01

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.