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Finding the Fourth Proportional to 283,464, 391,180.32 and 156,139.20

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Solution

The fourth proportional to 283,464, 391,180.32 and 156,139.20 is: 215,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,464 : 391,180.32 = 156,139.20 : x
  2. Step 2: Convert to fraction form
    283,464/391,180.32 = 156,139.20/x
  3. Step 3: Cross multiply
    283,464x = 391,180.32 × 156,139.20
  4. Step 4: Simplify right side
    283,464x = 61,078,582,220.54
  5. Step 5: Solve for x
    x = 61,078,582,220.54/283,464
  6. Step 6: Final answer
    x = 215,472.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.