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Finding the Fourth Proportional to 498,422.70, 747,561.15 and 143,399.70

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Solution

The fourth proportional to 498,422.70, 747,561.15 and 143,399.70 is: 215,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,422.70 : 747,561.15 = 143,399.70 : x
  2. Step 2: Convert to fraction form
    498,422.70/747,561.15 = 143,399.70/x
  3. Step 3: Cross multiply
    498,422.70x = 747,561.15 × 143,399.70
  4. Step 4: Simplify right side
    498,422.70x = 107,200,044,641.66
  5. Step 5: Solve for x
    x = 107,200,044,641.66/498,422.70
  6. Step 6: Final answer
    x = 215,078.58

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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.