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Finding the Fourth Proportional to 256,773.28, 354,340.50 and 142,048.96

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Solution

The fourth proportional to 256,773.28, 354,340.50 and 142,048.96 is: 196,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.28 : 354,340.50 = 142,048.96 : x
  2. Step 2: Convert to fraction form
    256,773.28/354,340.50 = 142,048.96/x
  3. Step 3: Cross multiply
    256,773.28x = 354,340.50 × 142,048.96
  4. Step 4: Simplify right side
    256,773.28x = 50,333,699,510.88
  5. Step 5: Solve for x
    x = 50,333,699,510.88/256,773.28
  6. Step 6: Final answer
    x = 196,023.90

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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.