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Finding the Fourth Proportional to 386,722.28, 533,674.50 and 216,956

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Solution

The fourth proportional to 386,722.28, 533,674.50 and 216,956 is: 299,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,722.28 : 533,674.50 = 216,956 : x
  2. Step 2: Convert to fraction form
    386,722.28/533,674.50 = 216,956/x
  3. Step 3: Cross multiply
    386,722.28x = 533,674.50 × 216,956
  4. Step 4: Simplify right side
    386,722.28x = 115,783,884,822
  5. Step 5: Solve for x
    x = 115,783,884,822/386,722.28
  6. Step 6: Final answer
    x = 299,398.02

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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.