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Finding the Fourth Proportional to 386,201.25, 532,990.53 and 216,468.18

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Solution

The fourth proportional to 386,201.25, 532,990.53 and 216,468.18 is: 298,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,201.25 : 532,990.53 = 216,468.18 : x
  2. Step 2: Convert to fraction form
    386,201.25/532,990.53 = 216,468.18/x
  3. Step 3: Cross multiply
    386,201.25x = 532,990.53 × 216,468.18
  4. Step 4: Simplify right side
    386,201.25x = 115,375,489,986.34
  5. Step 5: Solve for x
    x = 115,375,489,986.34/386,201.25
  6. Step 6: Final answer
    x = 298,744.48

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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.