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Finding the Fourth Proportional to 278,651.60, 418,006.52 and 91,677.84

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Solution

The fourth proportional to 278,651.60, 418,006.52 and 91,677.84 is: 137,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,651.60 : 418,006.52 = 91,677.84 : x
  2. Step 2: Convert to fraction form
    278,651.60/418,006.52 = 91,677.84/x
  3. Step 3: Cross multiply
    278,651.60x = 418,006.52 × 91,677.84
  4. Step 4: Simplify right side
    278,651.60x = 38,321,934,859.52
  5. Step 5: Solve for x
    x = 38,321,934,859.52/278,651.60
  6. Step 6: Final answer
    x = 137,526.34

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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.