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Finding the Fourth Proportional to 386,227.16, 532,964.16 and 216,428.48

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Solution

The fourth proportional to 386,227.16, 532,964.16 and 216,428.48 is: 298,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,227.16 : 532,964.16 = 216,428.48 : x
  2. Step 2: Convert to fraction form
    386,227.16/532,964.16 = 216,428.48/x
  3. Step 3: Cross multiply
    386,227.16x = 532,964.16 × 216,428.48
  4. Step 4: Simplify right side
    386,227.16x = 115,348,623,043.28
  5. Step 5: Solve for x
    x = 115,348,623,043.28/386,227.16
  6. Step 6: Final answer
    x = 298,654.87

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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.