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Finding the Fourth Proportional to 398,830.35, 550,387.59 and 217,546.17

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Solution

The fourth proportional to 398,830.35, 550,387.59 and 217,546.17 is: 300,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.35 : 550,387.59 = 217,546.17 : x
  2. Step 2: Convert to fraction form
    398,830.35/550,387.59 = 217,546.17/x
  3. Step 3: Cross multiply
    398,830.35x = 550,387.59 × 217,546.17
  4. Step 4: Simplify right side
    398,830.35x = 119,734,712,220.03
  5. Step 5: Solve for x
    x = 119,734,712,220.03/398,830.35
  6. Step 6: Final answer
    x = 300,214.65

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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.