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Finding the Fourth Proportional to 381,228.18, 571,470.47 and 181,494.94

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Solution

The fourth proportional to 381,228.18, 571,470.47 and 181,494.94 is: 272,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,228.18 : 571,470.47 = 181,494.94 : x
  2. Step 2: Convert to fraction form
    381,228.18/571,470.47 = 181,494.94/x
  3. Step 3: Cross multiply
    381,228.18x = 571,470.47 × 181,494.94
  4. Step 4: Simplify right side
    381,228.18x = 103,718,997,494.03
  5. Step 5: Solve for x
    x = 103,718,997,494.03/381,228.18
  6. Step 6: Final answer
    x = 272,065.40

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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.