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Finding the Fourth Proportional to 497,732.10, 746,598.15 and 287,780.10

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Solution

The fourth proportional to 497,732.10, 746,598.15 and 287,780.10 is: 431,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,732.10 : 746,598.15 = 287,780.10 : x
  2. Step 2: Convert to fraction form
    497,732.10/746,598.15 = 287,780.10/x
  3. Step 3: Cross multiply
    497,732.10x = 746,598.15 × 287,780.10
  4. Step 4: Simplify right side
    497,732.10x = 214,856,090,266.82
  5. Step 5: Solve for x
    x = 214,856,090,266.82/497,732.10
  6. Step 6: Final answer
    x = 431,670.15

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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.