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Finding the Fourth Proportional to 381,191.88, 571,416.02 and 181,458.64

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Solution

The fourth proportional to 381,191.88, 571,416.02 and 181,458.64 is: 272,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,191.88 : 571,416.02 = 181,458.64 : x
  2. Step 2: Convert to fraction form
    381,191.88/571,416.02 = 181,458.64/x
  3. Step 3: Cross multiply
    381,191.88x = 571,416.02 × 181,458.64
  4. Step 4: Simplify right side
    381,191.88x = 103,688,371,527.58
  5. Step 5: Solve for x
    x = 103,688,371,527.58/381,191.88
  6. Step 6: Final answer
    x = 272,010.97

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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.