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Finding the Fourth Proportional to 398,825.61, 550,381.07 and 217,541.43

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Solution

The fourth proportional to 398,825.61, 550,381.07 and 217,541.43 is: 300,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,825.61 : 550,381.07 = 217,541.43 : x
  2. Step 2: Convert to fraction form
    398,825.61/550,381.07 = 217,541.43/x
  3. Step 3: Cross multiply
    398,825.61x = 550,381.07 × 217,541.43
  4. Step 4: Simplify right side
    398,825.61x = 119,730,685,012.73
  5. Step 5: Solve for x
    x = 119,730,685,012.73/398,825.61
  6. Step 6: Final answer
    x = 300,208.12

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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.