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Finding the Fourth Proportional to 398,822.61, 550,381.68 and 217,534.48

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Solution

The fourth proportional to 398,822.61, 550,381.68 and 217,534.48 is: 300,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,822.61 : 550,381.68 = 217,534.48 : x
  2. Step 2: Convert to fraction form
    398,822.61/550,381.68 = 217,534.48/x
  3. Step 3: Cross multiply
    398,822.61x = 550,381.68 × 217,534.48
  4. Step 4: Simplify right side
    398,822.61x = 119,726,992,560.33
  5. Step 5: Solve for x
    x = 119,726,992,560.33/398,822.61
  6. Step 6: Final answer
    x = 300,201.12

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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.