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Finding the Fourth Proportional to 278,489.60, 417,734.40 and 81,497.60

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Solution

The fourth proportional to 278,489.60, 417,734.40 and 81,497.60 is: 122,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,489.60 : 417,734.40 = 81,497.60 : x
  2. Step 2: Convert to fraction form
    278,489.60/417,734.40 = 81,497.60/x
  3. Step 3: Cross multiply
    278,489.60x = 417,734.40 × 81,497.60
  4. Step 4: Simplify right side
    278,489.60x = 34,044,351,037.44
  5. Step 5: Solve for x
    x = 34,044,351,037.44/278,489.60
  6. Step 6: Final answer
    x = 122,246.40

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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.