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Finding the Fourth Proportional to 542,494.72, 813,649.20 and 143,139.61

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Solution

The fourth proportional to 542,494.72, 813,649.20 and 143,139.61 is: 214,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,494.72 : 813,649.20 = 143,139.61 : x
  2. Step 2: Convert to fraction form
    542,494.72/813,649.20 = 143,139.61/x
  3. Step 3: Cross multiply
    542,494.72x = 813,649.20 × 143,139.61
  4. Step 4: Simplify right side
    542,494.72x = 116,465,429,164.81
  5. Step 5: Solve for x
    x = 116,465,429,164.81/542,494.72
  6. Step 6: Final answer
    x = 214,684.91

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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.