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Finding the Fourth Proportional to 257,388.82, 386,131.79 and 97,512.58

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Solution

The fourth proportional to 257,388.82, 386,131.79 and 97,512.58 is: 146,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,388.82 : 386,131.79 = 97,512.58 : x
  2. Step 2: Convert to fraction form
    257,388.82/386,131.79 = 97,512.58/x
  3. Step 3: Cross multiply
    257,388.82x = 386,131.79 × 97,512.58
  4. Step 4: Simplify right side
    257,388.82x = 37,652,707,062.92
  5. Step 5: Solve for x
    x = 37,652,707,062.92/257,388.82
  6. Step 6: Final answer
    x = 146,287.27

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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.