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Finding the Fourth Proportional to 278,126.73, 417,206.70 and 78,464.16

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Solution

The fourth proportional to 278,126.73, 417,206.70 and 78,464.16 is: 117,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,126.73 : 417,206.70 = 78,464.16 : x
  2. Step 2: Convert to fraction form
    278,126.73/417,206.70 = 78,464.16/x
  3. Step 3: Cross multiply
    278,126.73x = 417,206.70 × 78,464.16
  4. Step 4: Simplify right side
    278,126.73x = 32,735,773,261.87
  5. Step 5: Solve for x
    x = 32,735,773,261.87/278,126.73
  6. Step 6: Final answer
    x = 117,700.92

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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.