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Finding the Fourth Proportional to 257,697.48, 355,610.52 and 142,974.90

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Solution

The fourth proportional to 257,697.48, 355,610.52 and 142,974.90 is: 197,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697.48 : 355,610.52 = 142,974.90 : x
  2. Step 2: Convert to fraction form
    257,697.48/355,610.52 = 142,974.90/x
  3. Step 3: Cross multiply
    257,697.48x = 355,610.52 × 142,974.90
  4. Step 4: Simplify right side
    257,697.48x = 50,843,378,535.95
  5. Step 5: Solve for x
    x = 50,843,378,535.95/257,697.48
  6. Step 6: Final answer
    x = 197,298.70

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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.