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Finding the Fourth Proportional to 538,000.10, 807,000.15 and 497,449.70

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Solution

The fourth proportional to 538,000.10, 807,000.15 and 497,449.70 is: 746,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000.10 : 807,000.15 = 497,449.70 : x
  2. Step 2: Convert to fraction form
    538,000.10/807,000.15 = 497,449.70/x
  3. Step 3: Cross multiply
    538,000.10x = 807,000.15 × 497,449.70
  4. Step 4: Simplify right side
    538,000.10x = 401,441,982,517.46
  5. Step 5: Solve for x
    x = 401,441,982,517.46/538,000.10
  6. Step 6: Final answer
    x = 746,174.55

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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.