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Finding the Fourth Proportional to 277,311.69, 382,657.20 and 156,445.92

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Solution

The fourth proportional to 277,311.69, 382,657.20 and 156,445.92 is: 215,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,311.69 : 382,657.20 = 156,445.92 : x
  2. Step 2: Convert to fraction form
    277,311.69/382,657.20 = 156,445.92/x
  3. Step 3: Cross multiply
    277,311.69x = 382,657.20 × 156,445.92
  4. Step 4: Simplify right side
    277,311.69x = 59,865,157,698.62
  5. Step 5: Solve for x
    x = 59,865,157,698.62/277,311.69
  6. Step 6: Final answer
    x = 215,876.79

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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.