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Finding the Fourth Proportional to 398,830.52, 550,387.85 and 217,546.35

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Solution

The fourth proportional to 398,830.52, 550,387.85 and 217,546.35 is: 300,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.52 : 550,387.85 = 217,546.35 : x
  2. Step 2: Convert to fraction form
    398,830.52/550,387.85 = 217,546.35/x
  3. Step 3: Cross multiply
    398,830.52x = 550,387.85 × 217,546.35
  4. Step 4: Simplify right side
    398,830.52x = 119,734,864,700.16
  5. Step 5: Solve for x
    x = 119,734,864,700.16/398,830.52
  6. Step 6: Final answer
    x = 300,214.90

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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.