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Finding the Fourth Proportional to 386,306.67, 533,101.53 and 216,540.80

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Solution

The fourth proportional to 386,306.67, 533,101.53 and 216,540.80 is: 298,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,306.67 : 533,101.53 = 216,540.80 : x
  2. Step 2: Convert to fraction form
    386,306.67/533,101.53 = 216,540.80/x
  3. Step 3: Cross multiply
    386,306.67x = 533,101.53 × 216,540.80
  4. Step 4: Simplify right side
    386,306.67x = 115,438,231,787.42
  5. Step 5: Solve for x
    x = 115,438,231,787.42/386,306.67
  6. Step 6: Final answer
    x = 298,825.37

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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.