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Finding the Fourth Proportional to 256,134.32, 353,432.76 and 142,961.84

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Solution

The fourth proportional to 256,134.32, 353,432.76 and 142,961.84 is: 197,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.32 : 353,432.76 = 142,961.84 : x
  2. Step 2: Convert to fraction form
    256,134.32/353,432.76 = 142,961.84/x
  3. Step 3: Cross multiply
    256,134.32x = 353,432.76 × 142,961.84
  4. Step 4: Simplify right side
    256,134.32x = 50,527,397,685.88
  5. Step 5: Solve for x
    x = 50,527,397,685.88/256,134.32
  6. Step 6: Final answer
    x = 197,269.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.