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Finding the Fourth Proportional to 381,157.88, 571,748.70 and 141,331.46

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Solution

The fourth proportional to 381,157.88, 571,748.70 and 141,331.46 is: 212,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,157.88 : 571,748.70 = 141,331.46 : x
  2. Step 2: Convert to fraction form
    381,157.88/571,748.70 = 141,331.46/x
  3. Step 3: Cross multiply
    381,157.88x = 571,748.70 × 141,331.46
  4. Step 4: Simplify right side
    381,157.88x = 80,806,078,524.10
  5. Step 5: Solve for x
    x = 80,806,078,524.10/381,157.88
  6. Step 6: Final answer
    x = 212,001.60

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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.