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Finding the Fourth Proportional to 257,538.45, 386,471.70 and 150,922.20

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Solution

The fourth proportional to 257,538.45, 386,471.70 and 150,922.20 is: 226,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538.45 : 386,471.70 = 150,922.20 : x
  2. Step 2: Convert to fraction form
    257,538.45/386,471.70 = 150,922.20/x
  3. Step 3: Cross multiply
    257,538.45x = 386,471.70 × 150,922.20
  4. Step 4: Simplify right side
    257,538.45x = 58,327,159,201.74
  5. Step 5: Solve for x
    x = 58,327,159,201.74/257,538.45
  6. Step 6: Final answer
    x = 226,479.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.