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Finding the Fourth Proportional to 277,431.87, 382,857.30 and 156,578.25

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Solution

The fourth proportional to 277,431.87, 382,857.30 and 156,578.25 is: 216,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,431.87 : 382,857.30 = 156,578.25 : x
  2. Step 2: Convert to fraction form
    277,431.87/382,857.30 = 156,578.25/x
  3. Step 3: Cross multiply
    277,431.87x = 382,857.30 × 156,578.25
  4. Step 4: Simplify right side
    277,431.87x = 59,947,126,033.73
  5. Step 5: Solve for x
    x = 59,947,126,033.73/277,431.87
  6. Step 6: Final answer
    x = 216,078.73

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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.