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Finding the Fourth Proportional to 268,805.37, 402,542.84 and 156,143.88

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Solution

The fourth proportional to 268,805.37, 402,542.84 and 156,143.88 is: 233,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,805.37 : 402,542.84 = 156,143.88 : x
  2. Step 2: Convert to fraction form
    268,805.37/402,542.84 = 156,143.88/x
  3. Step 3: Cross multiply
    268,805.37x = 402,542.84 × 156,143.88
  4. Step 4: Simplify right side
    268,805.37x = 62,854,600,123.10
  5. Step 5: Solve for x
    x = 62,854,600,123.10/268,805.37
  6. Step 6: Final answer
    x = 233,829.41

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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.