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Finding the Fourth Proportional to 542,124.83, 813,227.15 and 142,762.79

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Solution

The fourth proportional to 542,124.83, 813,227.15 and 142,762.79 is: 214,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,124.83 : 813,227.15 = 142,762.79 : x
  2. Step 2: Convert to fraction form
    542,124.83/813,227.15 = 142,762.79/x
  3. Step 3: Cross multiply
    542,124.83x = 813,227.15 × 142,762.79
  4. Step 4: Simplify right side
    542,124.83x = 116,098,576,837.75
  5. Step 5: Solve for x
    x = 116,098,576,837.75/542,124.83
  6. Step 6: Final answer
    x = 214,154.69

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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.