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Finding the Fourth Proportional to 278,842.70, 418,242.38 and 89,322.77

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Solution

The fourth proportional to 278,842.70, 418,242.38 and 89,322.77 is: 133,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,842.70 : 418,242.38 = 89,322.77 : x
  2. Step 2: Convert to fraction form
    278,842.70/418,242.38 = 89,322.77/x
  3. Step 3: Cross multiply
    278,842.70x = 418,242.38 × 89,322.77
  4. Step 4: Simplify right side
    278,842.70x = 37,358,565,375.17
  5. Step 5: Solve for x
    x = 37,358,565,375.17/278,842.70
  6. Step 6: Final answer
    x = 133,977.21

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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.