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Finding the Fourth Proportional to 284,439.78, 392,517.98 and 155,376.17

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Solution

The fourth proportional to 284,439.78, 392,517.98 and 155,376.17 is: 214,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,439.78 : 392,517.98 = 155,376.17 : x
  2. Step 2: Convert to fraction form
    284,439.78/392,517.98 = 155,376.17/x
  3. Step 3: Cross multiply
    284,439.78x = 392,517.98 × 155,376.17
  4. Step 4: Simplify right side
    284,439.78x = 60,987,941,474.59
  5. Step 5: Solve for x
    x = 60,987,941,474.59/284,439.78
  6. Step 6: Final answer
    x = 214,414.25

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1.5x scale

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.