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Finding the Fourth Proportional to 257,493.15, 386,239.73 and 213,753.15

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Solution

The fourth proportional to 257,493.15, 386,239.73 and 213,753.15 is: 320,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,493.15 : 386,239.73 = 213,753.15 : x
  2. Step 2: Convert to fraction form
    257,493.15/386,239.73 = 213,753.15/x
  3. Step 3: Cross multiply
    257,493.15x = 386,239.73 × 213,753.15
  4. Step 4: Simplify right side
    257,493.15x = 82,559,957,873.88
  5. Step 5: Solve for x
    x = 82,559,957,873.88/257,493.15
  6. Step 6: Final answer
    x = 320,629.73

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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.