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Finding the Fourth Proportional to 257,141.60, 354,843.56 and 142,412.52

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Solution

The fourth proportional to 257,141.60, 354,843.56 and 142,412.52 is: 196,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.60 : 354,843.56 = 142,412.52 : x
  2. Step 2: Convert to fraction form
    257,141.60/354,843.56 = 142,412.52/x
  3. Step 3: Cross multiply
    257,141.60x = 354,843.56 × 142,412.52
  4. Step 4: Simplify right side
    257,141.60x = 50,534,165,585.37
  5. Step 5: Solve for x
    x = 50,534,165,585.37/257,141.60
  6. Step 6: Final answer
    x = 196,522.72

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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.