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Finding the Fourth Proportional to 278,685.48, 417,874.44 and 89,093.16

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Solution

The fourth proportional to 278,685.48, 417,874.44 and 89,093.16 is: 133,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,685.48 : 417,874.44 = 89,093.16 : x
  2. Step 2: Convert to fraction form
    278,685.48/417,874.44 = 89,093.16/x
  3. Step 3: Cross multiply
    278,685.48x = 417,874.44 × 89,093.16
  4. Step 4: Simplify right side
    278,685.48x = 37,229,754,342.83
  5. Step 5: Solve for x
    x = 37,229,754,342.83/278,685.48
  6. Step 6: Final answer
    x = 133,590.58

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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.