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Finding the Fourth Proportional to 398,830.14, 550,387.32 and 217,545.97

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Solution

The fourth proportional to 398,830.14, 550,387.32 and 217,545.97 is: 300,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.14 : 550,387.32 = 217,545.97 : x
  2. Step 2: Convert to fraction form
    398,830.14/550,387.32 = 217,545.97/x
  3. Step 3: Cross multiply
    398,830.14x = 550,387.32 × 217,545.97
  4. Step 4: Simplify right side
    398,830.14x = 119,734,543,405.10
  5. Step 5: Solve for x
    x = 119,734,543,405.10/398,830.14
  6. Step 6: Final answer
    x = 300,214.38

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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.