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Finding the Fourth Proportional to 256,748.48, 354,285.76 and 142,008.88

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Solution

The fourth proportional to 256,748.48, 354,285.76 and 142,008.88 is: 195,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,748.48 : 354,285.76 = 142,008.88 : x
  2. Step 2: Convert to fraction form
    256,748.48/354,285.76 = 142,008.88/x
  3. Step 3: Cross multiply
    256,748.48x = 354,285.76 × 142,008.88
  4. Step 4: Simplify right side
    256,748.48x = 50,311,723,977.55
  5. Step 5: Solve for x
    x = 50,311,723,977.55/256,748.48
  6. Step 6: Final answer
    x = 195,957.24

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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.