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Finding the Fourth Proportional to 278,549.67, 417,819.75 and 89,008.66

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Solution

The fourth proportional to 278,549.67, 417,819.75 and 89,008.66 is: 133,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,549.67 : 417,819.75 = 89,008.66 : x
  2. Step 2: Convert to fraction form
    278,549.67/417,819.75 = 89,008.66/x
  3. Step 3: Cross multiply
    278,549.67x = 417,819.75 × 89,008.66
  4. Step 4: Simplify right side
    278,549.67x = 37,189,576,069.04
  5. Step 5: Solve for x
    x = 37,189,576,069.04/278,549.67
  6. Step 6: Final answer
    x = 133,511.47

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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.