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Finding the Fourth Proportional to 256,294.28, 353,684.69 and 141,580.80

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Solution

The fourth proportional to 256,294.28, 353,684.69 and 141,580.80 is: 195,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,294.28 : 353,684.69 = 141,580.80 : x
  2. Step 2: Convert to fraction form
    256,294.28/353,684.69 = 141,580.80/x
  3. Step 3: Cross multiply
    256,294.28x = 353,684.69 × 141,580.80
  4. Step 4: Simplify right side
    256,294.28x = 50,074,961,357.95
  5. Step 5: Solve for x
    x = 50,074,961,357.95/256,294.28
  6. Step 6: Final answer
    x = 195,380.72

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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.