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Finding the Fourth Proportional to 256,861.30, 385,183.52 and 76,972.24

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Solution

The fourth proportional to 256,861.30, 385,183.52 and 76,972.24 is: 115,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,861.30 : 385,183.52 = 76,972.24 : x
  2. Step 2: Convert to fraction form
    256,861.30/385,183.52 = 76,972.24/x
  3. Step 3: Cross multiply
    256,861.30x = 385,183.52 × 76,972.24
  4. Step 4: Simplify right side
    256,861.30x = 29,648,438,345.48
  5. Step 5: Solve for x
    x = 29,648,438,345.48/256,861.30
  6. Step 6: Final answer
    x = 115,425.87

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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.