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Finding the Fourth Proportional to 278,898.26, 418,377.13 and 89,290.82

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Solution

The fourth proportional to 278,898.26, 418,377.13 and 89,290.82 is: 133,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,898.26 : 418,377.13 = 89,290.82 : x
  2. Step 2: Convert to fraction form
    278,898.26/418,377.13 = 89,290.82/x
  3. Step 3: Cross multiply
    278,898.26x = 418,377.13 × 89,290.82
  4. Step 4: Simplify right side
    278,898.26x = 37,357,237,829.66
  5. Step 5: Solve for x
    x = 37,357,237,829.66/278,898.26
  6. Step 6: Final answer
    x = 133,945.76

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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.