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Finding the Fourth Proportional to 278,569.60, 417,854.40 and 260,854.90

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Solution

The fourth proportional to 278,569.60, 417,854.40 and 260,854.90 is: 391,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,569.60 : 417,854.40 = 260,854.90 : x
  2. Step 2: Convert to fraction form
    278,569.60/417,854.40 = 260,854.90/x
  3. Step 3: Cross multiply
    278,569.60x = 417,854.40 × 260,854.90
  4. Step 4: Simplify right side
    278,569.60x = 108,999,367,726.56
  5. Step 5: Solve for x
    x = 108,999,367,726.56/278,569.60
  6. Step 6: Final answer
    x = 391,282.35

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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.