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Finding the Fourth Proportional to 381,246.95, 571,498.61 and 181,513.71

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Solution

The fourth proportional to 381,246.95, 571,498.61 and 181,513.71 is: 272,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,246.95 : 571,498.61 = 181,513.71 : x
  2. Step 2: Convert to fraction form
    381,246.95/571,498.61 = 181,513.71/x
  3. Step 3: Cross multiply
    381,246.95x = 571,498.61 × 181,513.71
  4. Step 4: Simplify right side
    381,246.95x = 103,734,832,053.38
  5. Step 5: Solve for x
    x = 103,734,832,053.38/381,246.95
  6. Step 6: Final answer
    x = 272,093.54

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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.