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Finding the Fourth Proportional to 418,963.49, 628,543.64 and 138,480.71

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Solution

The fourth proportional to 418,963.49, 628,543.64 and 138,480.71 is: 207,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,963.49 : 628,543.64 = 138,480.71 : x
  2. Step 2: Convert to fraction form
    418,963.49/628,543.64 = 138,480.71/x
  3. Step 3: Cross multiply
    418,963.49x = 628,543.64 × 138,480.71
  4. Step 4: Simplify right side
    418,963.49x = 87,041,168,840.78
  5. Step 5: Solve for x
    x = 87,041,168,840.78/418,963.49
  6. Step 6: Final answer
    x = 207,753.59

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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.