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Finding the Fourth Proportional to 278,548.67, 417,818.25 and 89,007.66

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Solution

The fourth proportional to 278,548.67, 417,818.25 and 89,007.66 is: 133,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,548.67 : 417,818.25 = 89,007.66 : x
  2. Step 2: Convert to fraction form
    278,548.67/417,818.25 = 89,007.66/x
  3. Step 3: Cross multiply
    278,548.67x = 417,818.25 × 89,007.66
  4. Step 4: Simplify right side
    278,548.67x = 37,189,024,737.80
  5. Step 5: Solve for x
    x = 37,189,024,737.80/278,548.67
  6. Step 6: Final answer
    x = 133,509.97

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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.