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Finding the Fourth Proportional to 497,732.60, 746,598.90 and 287,780.60

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Solution

The fourth proportional to 497,732.60, 746,598.90 and 287,780.60 is: 431,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,732.60 : 746,598.90 = 287,780.60 : x
  2. Step 2: Convert to fraction form
    497,732.60/746,598.90 = 287,780.60/x
  3. Step 3: Cross multiply
    497,732.60x = 746,598.90 × 287,780.60
  4. Step 4: Simplify right side
    497,732.60x = 214,856,679,401.34
  5. Step 5: Solve for x
    x = 214,856,679,401.34/497,732.60
  6. Step 6: Final answer
    x = 431,670.90

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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.