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Finding the Fourth Proportional to 284,314.14, 392,348.36 and 156,987

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Solution

The fourth proportional to 284,314.14, 392,348.36 and 156,987 is: 216,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.14 : 392,348.36 = 156,987 : x
  2. Step 2: Convert to fraction form
    284,314.14/392,348.36 = 156,987/x
  3. Step 3: Cross multiply
    284,314.14x = 392,348.36 × 156,987
  4. Step 4: Simplify right side
    284,314.14x = 61,593,591,991.32
  5. Step 5: Solve for x
    x = 61,593,591,991.32/284,314.14
  6. Step 6: Final answer
    x = 216,639.21

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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.