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Finding the Fourth Proportional to 278,397.68, 417,550.07 and 78,672.47

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Solution

The fourth proportional to 278,397.68, 417,550.07 and 78,672.47 is: 117,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,397.68 : 417,550.07 = 78,672.47 : x
  2. Step 2: Convert to fraction form
    278,397.68/417,550.07 = 78,672.47/x
  3. Step 3: Cross multiply
    278,397.68x = 417,550.07 × 78,672.47
  4. Step 4: Simplify right side
    278,397.68x = 32,849,692,874.46
  5. Step 5: Solve for x
    x = 32,849,692,874.46/278,397.68
  6. Step 6: Final answer
    x = 117,995.57

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1.5x scale

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.