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Finding the Fourth Proportional to 381,857.40, 572,570.10 and 145,207.80

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Solution

The fourth proportional to 381,857.40, 572,570.10 and 145,207.80 is: 217,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,857.40 : 572,570.10 = 145,207.80 : x
  2. Step 2: Convert to fraction form
    381,857.40/572,570.10 = 145,207.80/x
  3. Step 3: Cross multiply
    381,857.40x = 572,570.10 × 145,207.80
  4. Step 4: Simplify right side
    381,857.40x = 83,141,644,566.78
  5. Step 5: Solve for x
    x = 83,141,644,566.78/381,857.40
  6. Step 6: Final answer
    x = 217,729.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.