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Finding the Fourth Proportional to 542,706.82, 814,099.12 and 143,343.61

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Solution

The fourth proportional to 542,706.82, 814,099.12 and 143,343.61 is: 215,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.82 : 814,099.12 = 143,343.61 : x
  2. Step 2: Convert to fraction form
    542,706.82/814,099.12 = 143,343.61/x
  3. Step 3: Cross multiply
    542,706.82x = 814,099.12 × 143,343.61
  4. Step 4: Simplify right side
    542,706.82x = 116,695,904,365.02
  5. Step 5: Solve for x
    x = 116,695,904,365.02/542,706.82
  6. Step 6: Final answer
    x = 215,025.68

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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.