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Finding the Fourth Proportional to 278,587.75, 417,941.57 and 86,458.38

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Solution

The fourth proportional to 278,587.75, 417,941.57 and 86,458.38 is: 129,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,587.75 : 417,941.57 = 86,458.38 : x
  2. Step 2: Convert to fraction form
    278,587.75/417,941.57 = 86,458.38/x
  3. Step 3: Cross multiply
    278,587.75x = 417,941.57 × 86,458.38
  4. Step 4: Simplify right side
    278,587.75x = 36,134,550,644.56
  5. Step 5: Solve for x
    x = 36,134,550,644.56/278,587.75
  6. Step 6: Final answer
    x = 129,706.17

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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.