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Finding the Fourth Proportional to 542,124.33, 813,226.40 and 142,762.29

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Solution

The fourth proportional to 542,124.33, 813,226.40 and 142,762.29 is: 214,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,124.33 : 813,226.40 = 142,762.29 : x
  2. Step 2: Convert to fraction form
    542,124.33/813,226.40 = 142,762.29/x
  3. Step 3: Cross multiply
    542,124.33x = 813,226.40 × 142,762.29
  4. Step 4: Simplify right side
    542,124.33x = 116,098,063,152.46
  5. Step 5: Solve for x
    x = 116,098,063,152.46/542,124.33
  6. Step 6: Final answer
    x = 214,153.94

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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.