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Finding the Fourth Proportional to 498,398.80, 747,712.68 and 143,415.76

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Solution

The fourth proportional to 498,398.80, 747,712.68 and 143,415.76 is: 215,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,398.80 : 747,712.68 = 143,415.76 : x
  2. Step 2: Convert to fraction form
    498,398.80/747,712.68 = 143,415.76/x
  3. Step 3: Cross multiply
    498,398.80x = 747,712.68 × 143,415.76
  4. Step 4: Simplify right side
    498,398.80x = 107,233,782,263.84
  5. Step 5: Solve for x
    x = 107,233,782,263.84/498,398.80
  6. Step 6: Final answer
    x = 215,156.58

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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.