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Finding the Fourth Proportional to 402,542.89, 603,836.94 and 129,012.87

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Solution

The fourth proportional to 402,542.89, 603,836.94 and 129,012.87 is: 193,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,542.89 : 603,836.94 = 129,012.87 : x
  2. Step 2: Convert to fraction form
    402,542.89/603,836.94 = 129,012.87/x
  3. Step 3: Cross multiply
    402,542.89x = 603,836.94 × 129,012.87
  4. Step 4: Simplify right side
    402,542.89x = 77,902,734,403.68
  5. Step 5: Solve for x
    x = 77,902,734,403.68/402,542.89
  6. Step 6: Final answer
    x = 193,526.54

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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.