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Finding the Fourth Proportional to 277,117.52, 382,389.70 and 156,251.61

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Solution

The fourth proportional to 277,117.52, 382,389.70 and 156,251.61 is: 215,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,117.52 : 382,389.70 = 156,251.61 : x
  2. Step 2: Convert to fraction form
    277,117.52/382,389.70 = 156,251.61/x
  3. Step 3: Cross multiply
    277,117.52x = 382,389.70 × 156,251.61
  4. Step 4: Simplify right side
    277,117.52x = 59,749,006,272.42
  5. Step 5: Solve for x
    x = 59,749,006,272.42/277,117.52
  6. Step 6: Final answer
    x = 215,608.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.