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Finding the Fourth Proportional to 386,211.69, 532,994.03 and 216,456.75

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Solution

The fourth proportional to 386,211.69, 532,994.03 and 216,456.75 is: 298,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,211.69 : 532,994.03 = 216,456.75 : x
  2. Step 2: Convert to fraction form
    386,211.69/532,994.03 = 216,456.75/x
  3. Step 3: Cross multiply
    386,211.69x = 532,994.03 × 216,456.75
  4. Step 4: Simplify right side
    386,211.69x = 115,370,155,503.20
  5. Step 5: Solve for x
    x = 115,370,155,503.20/386,211.69
  6. Step 6: Final answer
    x = 298,722.59

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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.