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Finding the Fourth Proportional to 256,830.72, 385,261.92 and 99,057.12

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Solution

The fourth proportional to 256,830.72, 385,261.92 and 99,057.12 is: 148,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,830.72 : 385,261.92 = 99,057.12 : x
  2. Step 2: Convert to fraction form
    256,830.72/385,261.92 = 99,057.12/x
  3. Step 3: Cross multiply
    256,830.72x = 385,261.92 × 99,057.12
  4. Step 4: Simplify right side
    256,830.72x = 38,162,936,240.87
  5. Step 5: Solve for x
    x = 38,162,936,240.87/256,830.72
  6. Step 6: Final answer
    x = 148,591.79

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1.5x scale

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.