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Finding the Fourth Proportional to 284,144.87, 392,120.75 and 155,084.54

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Solution

The fourth proportional to 284,144.87, 392,120.75 and 155,084.54 is: 214,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144.87 : 392,120.75 = 155,084.54 : x
  2. Step 2: Convert to fraction form
    284,144.87/392,120.75 = 155,084.54/x
  3. Step 3: Cross multiply
    284,144.87x = 392,120.75 × 155,084.54
  4. Step 4: Simplify right side
    284,144.87x = 60,811,864,565.31
  5. Step 5: Solve for x
    x = 60,811,864,565.31/284,144.87
  6. Step 6: Final answer
    x = 214,017.11

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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.