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Finding the Fourth Proportional to 256,915.80, 354,536.49 and 142,199.15

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Solution

The fourth proportional to 256,915.80, 354,536.49 and 142,199.15 is: 196,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,915.80 : 354,536.49 = 142,199.15 : x
  2. Step 2: Convert to fraction form
    256,915.80/354,536.49 = 142,199.15/x
  3. Step 3: Cross multiply
    256,915.80x = 354,536.49 × 142,199.15
  4. Step 4: Simplify right side
    256,915.80x = 50,414,786,282.55
  5. Step 5: Solve for x
    x = 50,414,786,282.55/256,915.80
  6. Step 6: Final answer
    x = 196,230.77

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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.