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Finding the Fourth Proportional to 278,957.43, 418,614.36 and 101,447.55

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Solution

The fourth proportional to 278,957.43, 418,614.36 and 101,447.55 is: 152,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,957.43 : 418,614.36 = 101,447.55 : x
  2. Step 2: Convert to fraction form
    278,957.43/418,614.36 = 101,447.55/x
  3. Step 3: Cross multiply
    278,957.43x = 418,614.36 × 101,447.55
  4. Step 4: Simplify right side
    278,957.43x = 42,467,401,216.82
  5. Step 5: Solve for x
    x = 42,467,401,216.82/278,957.43
  6. Step 6: Final answer
    x = 152,236.14

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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.