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Finding the Fourth Proportional to 386,203.50, 532,993.64 and 216,470.43

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Solution

The fourth proportional to 386,203.50, 532,993.64 and 216,470.43 is: 298,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,203.50 : 532,993.64 = 216,470.43 : x
  2. Step 2: Convert to fraction form
    386,203.50/532,993.64 = 216,470.43/x
  3. Step 3: Cross multiply
    386,203.50x = 532,993.64 × 216,470.43
  4. Step 4: Simplify right side
    386,203.50x = 115,377,361,355.71
  5. Step 5: Solve for x
    x = 115,377,361,355.71/386,203.50
  6. Step 6: Final answer
    x = 298,747.58

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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.