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Finding the Fourth Proportional to 256,871.85, 354,470.58 and 142,148.44

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Solution

The fourth proportional to 256,871.85, 354,470.58 and 142,148.44 is: 196,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.85 : 354,470.58 = 142,148.44 : x
  2. Step 2: Convert to fraction form
    256,871.85/354,470.58 = 142,148.44/x
  3. Step 3: Cross multiply
    256,871.85x = 354,470.58 × 142,148.44
  4. Step 4: Simplify right side
    256,871.85x = 50,387,439,972.90
  5. Step 5: Solve for x
    x = 50,387,439,972.90/256,871.85
  6. Step 6: Final answer
    x = 196,157.89

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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.