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Finding the Fourth Proportional to 457,809.90, 686,714.85 and 432,005.10

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Solution

The fourth proportional to 457,809.90, 686,714.85 and 432,005.10 is: 648,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,809.90 : 686,714.85 = 432,005.10 : x
  2. Step 2: Convert to fraction form
    457,809.90/686,714.85 = 432,005.10/x
  3. Step 3: Cross multiply
    457,809.90x = 686,714.85 × 432,005.10
  4. Step 4: Simplify right side
    457,809.90x = 296,664,317,445.74
  5. Step 5: Solve for x
    x = 296,664,317,445.74/457,809.90
  6. Step 6: Final answer
    x = 648,007.65

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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.