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Finding the Fourth Proportional to 257,046.20, 354,734.80 and 142,324.80

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Solution

The fourth proportional to 257,046.20, 354,734.80 and 142,324.80 is: 196,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,046.20 : 354,734.80 = 142,324.80 : x
  2. Step 2: Convert to fraction form
    257,046.20/354,734.80 = 142,324.80/x
  3. Step 3: Cross multiply
    257,046.20x = 354,734.80 × 142,324.80
  4. Step 4: Simplify right side
    257,046.20x = 50,487,559,463.04
  5. Step 5: Solve for x
    x = 50,487,559,463.04/257,046.20
  6. Step 6: Final answer
    x = 196,414.34

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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.