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Finding the Fourth Proportional to 277,294.41, 382,665.17 and 156,435.70

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Solution

The fourth proportional to 277,294.41, 382,665.17 and 156,435.70 is: 215,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.41 : 382,665.17 = 156,435.70 : x
  2. Step 2: Convert to fraction form
    277,294.41/382,665.17 = 156,435.70/x
  3. Step 3: Cross multiply
    277,294.41x = 382,665.17 × 156,435.70
  4. Step 4: Simplify right side
    277,294.41x = 59,862,493,734.57
  5. Step 5: Solve for x
    x = 59,862,493,734.57/277,294.41
  6. Step 6: Final answer
    x = 215,880.64

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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.