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Finding the Fourth Proportional to 642,714.80, 964,072.20 and 476,826.80

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Solution

The fourth proportional to 642,714.80, 964,072.20 and 476,826.80 is: 715,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,714.80 : 964,072.20 = 476,826.80 : x
  2. Step 2: Convert to fraction form
    642,714.80/964,072.20 = 476,826.80/x
  3. Step 3: Cross multiply
    642,714.80x = 964,072.20 × 476,826.80
  4. Step 4: Simplify right side
    642,714.80x = 459,695,462,094.96
  5. Step 5: Solve for x
    x = 459,695,462,094.96/642,714.80
  6. Step 6: Final answer
    x = 715,240.20

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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.