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Finding the Fourth Proportional to 278,302.43, 417,193.94 and 109,824.15

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Solution

The fourth proportional to 278,302.43, 417,193.94 and 109,824.15 is: 164,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,302.43 : 417,193.94 = 109,824.15 : x
  2. Step 2: Convert to fraction form
    278,302.43/417,193.94 = 109,824.15/x
  3. Step 3: Cross multiply
    278,302.43x = 417,193.94 × 109,824.15
  4. Step 4: Simplify right side
    278,302.43x = 45,817,969,296.53
  5. Step 5: Solve for x
    x = 45,817,969,296.53/278,302.43
  6. Step 6: Final answer
    x = 164,633.74

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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.