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Finding the Fourth Proportional to 256,949.88, 385,203.33 and 99,288.96

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Solution

The fourth proportional to 256,949.88, 385,203.33 and 99,288.96 is: 148,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,949.88 : 385,203.33 = 99,288.96 : x
  2. Step 2: Convert to fraction form
    256,949.88/385,203.33 = 99,288.96/x
  3. Step 3: Cross multiply
    256,949.88x = 385,203.33 × 99,288.96
  4. Step 4: Simplify right side
    256,949.88x = 38,246,438,024.24
  5. Step 5: Solve for x
    x = 38,246,438,024.24/256,949.88
  6. Step 6: Final answer
    x = 148,847.85

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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.