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Finding the Fourth Proportional to 260,011.38, 389,351.19 and 179,938.47

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Solution

The fourth proportional to 260,011.38, 389,351.19 and 179,938.47 is: 269,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,011.38 : 389,351.19 = 179,938.47 : x
  2. Step 2: Convert to fraction form
    260,011.38/389,351.19 = 179,938.47/x
  3. Step 3: Cross multiply
    260,011.38x = 389,351.19 × 179,938.47
  4. Step 4: Simplify right side
    260,011.38x = 70,059,256,521.59
  5. Step 5: Solve for x
    x = 70,059,256,521.59/260,011.38
  6. Step 6: Final answer
    x = 269,446.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.