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Finding the Fourth Proportional to 498,343.83, 747,489.61 and 143,343.91

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Solution

The fourth proportional to 498,343.83, 747,489.61 and 143,343.91 is: 215,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,343.83 : 747,489.61 = 143,343.91 : x
  2. Step 2: Convert to fraction form
    498,343.83/747,489.61 = 143,343.91/x
  3. Step 3: Cross multiply
    498,343.83x = 747,489.61 × 143,343.91
  4. Step 4: Simplify right side
    498,343.83x = 107,148,083,381.78
  5. Step 5: Solve for x
    x = 107,148,083,381.78/498,343.83
  6. Step 6: Final answer
    x = 215,008.35

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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.