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Finding the Fourth Proportional to 391,489.29, 540,293.13 and 219,436.47

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Solution

The fourth proportional to 391,489.29, 540,293.13 and 219,436.47 is: 302,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,489.29 : 540,293.13 = 219,436.47 : x
  2. Step 2: Convert to fraction form
    391,489.29/540,293.13 = 219,436.47/x
  3. Step 3: Cross multiply
    391,489.29x = 540,293.13 × 219,436.47
  4. Step 4: Simplify right side
    391,489.29x = 118,560,017,212.45
  5. Step 5: Solve for x
    x = 118,560,017,212.45/391,489.29
  6. Step 6: Final answer
    x = 302,843.58

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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.