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Finding the Fourth Proportional to 278,484.80, 417,687.84 and 91,472

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Solution

The fourth proportional to 278,484.80, 417,687.84 and 91,472 is: 137,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,484.80 : 417,687.84 = 91,472 : x
  2. Step 2: Convert to fraction form
    278,484.80/417,687.84 = 91,472/x
  3. Step 3: Cross multiply
    278,484.80x = 417,687.84 × 91,472
  4. Step 4: Simplify right side
    278,484.80x = 38,206,742,100.48
  5. Step 5: Solve for x
    x = 38,206,742,100.48/278,484.80
  6. Step 6: Final answer
    x = 137,195.07

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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.