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Finding the Fourth Proportional to 542,442.33, 813,718.17 and 143,110.71

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Solution

The fourth proportional to 542,442.33, 813,718.17 and 143,110.71 is: 214,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,442.33 : 813,718.17 = 143,110.71 : x
  2. Step 2: Convert to fraction form
    542,442.33/813,718.17 = 143,110.71/x
  3. Step 3: Cross multiply
    542,442.33x = 813,718.17 × 143,110.71
  4. Step 4: Simplify right side
    542,442.33x = 116,451,785,048.60
  5. Step 5: Solve for x
    x = 116,451,785,048.60/542,442.33
  6. Step 6: Final answer
    x = 214,680.49

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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.