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Finding the Fourth Proportional to 277,834.39, 416,753.66 and 78,174.97

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Solution

The fourth proportional to 277,834.39, 416,753.66 and 78,174.97 is: 117,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,834.39 : 416,753.66 = 78,174.97 : x
  2. Step 2: Convert to fraction form
    277,834.39/416,753.66 = 78,174.97/x
  3. Step 3: Cross multiply
    277,834.39x = 416,753.66 × 78,174.97
  4. Step 4: Simplify right side
    277,834.39x = 32,579,704,867.89
  5. Step 5: Solve for x
    x = 32,579,704,867.89/277,834.39
  6. Step 6: Final answer
    x = 117,263.04

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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.