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Finding the Fourth Proportional to 498,344.83, 747,491.11 and 143,344.91

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Solution

The fourth proportional to 498,344.83, 747,491.11 and 143,344.91 is: 215,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,344.83 : 747,491.11 = 143,344.91 : x
  2. Step 2: Convert to fraction form
    498,344.83/747,491.11 = 143,344.91/x
  3. Step 3: Cross multiply
    498,344.83x = 747,491.11 × 143,344.91
  4. Step 4: Simplify right side
    498,344.83x = 107,149,045,888.75
  5. Step 5: Solve for x
    x = 107,149,045,888.75/498,344.83
  6. Step 6: Final answer
    x = 215,009.85

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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.