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Finding the Fourth Proportional to 398,726.28, 550,229.22 and 217,433.16

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Solution

The fourth proportional to 398,726.28, 550,229.22 and 217,433.16 is: 300,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,726.28 : 550,229.22 = 217,433.16 : x
  2. Step 2: Convert to fraction form
    398,726.28/550,229.22 = 217,433.16/x
  3. Step 3: Cross multiply
    398,726.28x = 550,229.22 × 217,433.16
  4. Step 4: Simplify right side
    398,726.28x = 119,638,078,028.94
  5. Step 5: Solve for x
    x = 119,638,078,028.94/398,726.28
  6. Step 6: Final answer
    x = 300,050.65

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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.