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Finding the Fourth Proportional to 345,411.91, 518,187.71 and 145,732.78

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Solution

The fourth proportional to 345,411.91, 518,187.71 and 145,732.78 is: 218,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,411.91 : 518,187.71 = 145,732.78 : x
  2. Step 2: Convert to fraction form
    345,411.91/518,187.71 = 145,732.78/x
  3. Step 3: Cross multiply
    345,411.91x = 518,187.71 × 145,732.78
  4. Step 4: Simplify right side
    345,411.91x = 75,516,935,540.13
  5. Step 5: Solve for x
    x = 75,516,935,540.13/345,411.91
  6. Step 6: Final answer
    x = 218,628.64

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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.