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Finding the Fourth Proportional to 284,105.22, 392,052.90 and 155,040.42

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Solution

The fourth proportional to 284,105.22, 392,052.90 and 155,040.42 is: 213,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,105.22 : 392,052.90 = 155,040.42 : x
  2. Step 2: Convert to fraction form
    284,105.22/392,052.90 = 155,040.42/x
  3. Step 3: Cross multiply
    284,105.22x = 392,052.90 × 155,040.42
  4. Step 4: Simplify right side
    284,105.22x = 60,784,046,278.22
  5. Step 5: Solve for x
    x = 60,784,046,278.22/284,105.22
  6. Step 6: Final answer
    x = 213,949.07

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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.