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Finding the Fourth Proportional to 386,058, 532,781.92 and 216,346.80

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Solution

The fourth proportional to 386,058, 532,781.92 and 216,346.80 is: 298,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,058 : 532,781.92 = 216,346.80 : x
  2. Step 2: Convert to fraction form
    386,058/532,781.92 = 216,346.80/x
  3. Step 3: Cross multiply
    386,058x = 532,781.92 × 216,346.80
  4. Step 4: Simplify right side
    386,058x = 115,265,663,489.86
  5. Step 5: Solve for x
    x = 115,265,663,489.86/386,058
  6. Step 6: Final answer
    x = 298,570.85

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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.