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Finding the Fourth Proportional to 284,144.61, 392,120.41 and 155,084.28

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Solution

The fourth proportional to 284,144.61, 392,120.41 and 155,084.28 is: 214,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144.61 : 392,120.41 = 155,084.28 : x
  2. Step 2: Convert to fraction form
    284,144.61/392,120.41 = 155,084.28/x
  3. Step 3: Cross multiply
    284,144.61x = 392,120.41 × 155,084.28
  4. Step 4: Simplify right side
    284,144.61x = 60,811,711,458.15
  5. Step 5: Solve for x
    x = 60,811,711,458.15/284,144.61
  6. Step 6: Final answer
    x = 214,016.77

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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.