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Finding the Fourth Proportional to 278,572.84, 418,062.17 and 101,094.15

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Solution

The fourth proportional to 278,572.84, 418,062.17 and 101,094.15 is: 151,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,572.84 : 418,062.17 = 101,094.15 : x
  2. Step 2: Convert to fraction form
    278,572.84/418,062.17 = 101,094.15/x
  3. Step 3: Cross multiply
    278,572.84x = 418,062.17 × 101,094.15
  4. Step 4: Simplify right side
    278,572.84x = 42,263,639,723.31
  5. Step 5: Solve for x
    x = 42,263,639,723.31/278,572.84
  6. Step 6: Final answer
    x = 151,714.86

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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.