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Finding the Fourth Proportional to 256,770.70, 385,321.28 and 138,523.66

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Solution

The fourth proportional to 256,770.70, 385,321.28 and 138,523.66 is: 207,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,770.70 : 385,321.28 = 138,523.66 : x
  2. Step 2: Convert to fraction form
    256,770.70/385,321.28 = 138,523.66/x
  3. Step 3: Cross multiply
    256,770.70x = 385,321.28 × 138,523.66
  4. Step 4: Simplify right side
    256,770.70x = 53,376,112,325.56
  5. Step 5: Solve for x
    x = 53,376,112,325.56/256,770.70
  6. Step 6: Final answer
    x = 207,874.62

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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.