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Finding the Fourth Proportional to 391,932.86, 540,873.11 and 219,888.86

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Solution

The fourth proportional to 391,932.86, 540,873.11 and 219,888.86 is: 303,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,932.86 : 540,873.11 = 219,888.86 : x
  2. Step 2: Convert to fraction form
    391,932.86/540,873.11 = 219,888.86/x
  3. Step 3: Cross multiply
    391,932.86x = 540,873.11 × 219,888.86
  4. Step 4: Simplify right side
    391,932.86x = 118,931,970,463.11
  5. Step 5: Solve for x
    x = 118,931,970,463.11/391,932.86
  6. Step 6: Final answer
    x = 303,449.86

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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.