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Finding the Fourth Proportional to 257,796.96, 386,716.20 and 97,949.49

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Solution

The fourth proportional to 257,796.96, 386,716.20 and 97,949.49 is: 146,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.96 : 386,716.20 = 97,949.49 : x
  2. Step 2: Convert to fraction form
    257,796.96/386,716.20 = 97,949.49/x
  3. Step 3: Cross multiply
    257,796.96x = 386,716.20 × 97,949.49
  4. Step 4: Simplify right side
    257,796.96x = 37,878,654,564.74
  5. Step 5: Solve for x
    x = 37,878,654,564.74/257,796.96
  6. Step 6: Final answer
    x = 146,932.12

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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.