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Finding the Fourth Proportional to 256,475.70, 384,713.55 and 161,997.30

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Solution

The fourth proportional to 256,475.70, 384,713.55 and 161,997.30 is: 242,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.70 : 384,713.55 = 161,997.30 : x
  2. Step 2: Convert to fraction form
    256,475.70/384,713.55 = 161,997.30/x
  3. Step 3: Cross multiply
    256,475.70x = 384,713.55 × 161,997.30
  4. Step 4: Simplify right side
    256,475.70x = 62,322,556,373.42
  5. Step 5: Solve for x
    x = 62,322,556,373.42/256,475.70
  6. Step 6: Final answer
    x = 242,995.95

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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.