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Finding the Fourth Proportional to 274,438.83, 411,600.65 and 77,400.75

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Solution

The fourth proportional to 274,438.83, 411,600.65 and 77,400.75 is: 116,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,438.83 : 411,600.65 = 77,400.75 : x
  2. Step 2: Convert to fraction form
    274,438.83/411,600.65 = 77,400.75/x
  3. Step 3: Cross multiply
    274,438.83x = 411,600.65 × 77,400.75
  4. Step 4: Simplify right side
    274,438.83x = 31,858,198,623.48
  5. Step 5: Solve for x
    x = 31,858,198,623.48/274,438.83
  6. Step 6: Final answer
    x = 116,084.88

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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.