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Finding the Fourth Proportional to 386,221.96, 532,978.14 and 216,452.44

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Solution

The fourth proportional to 386,221.96, 532,978.14 and 216,452.44 is: 298,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,221.96 : 532,978.14 = 216,452.44 : x
  2. Step 2: Convert to fraction form
    386,221.96/532,978.14 = 216,452.44/x
  3. Step 3: Cross multiply
    386,221.96x = 532,978.14 × 216,452.44
  4. Step 4: Simplify right side
    386,221.96x = 115,364,418,869.66
  5. Step 5: Solve for x
    x = 115,364,418,869.66/386,221.96
  6. Step 6: Final answer
    x = 298,699.79

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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.