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Finding the Fourth Proportional to 481,426.70, 721,945.65 and 165,721.10

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Solution

The fourth proportional to 481,426.70, 721,945.65 and 165,721.10 is: 248,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,426.70 : 721,945.65 = 165,721.10 : x
  2. Step 2: Convert to fraction form
    481,426.70/721,945.65 = 165,721.10/x
  3. Step 3: Cross multiply
    481,426.70x = 721,945.65 × 165,721.10
  4. Step 4: Simplify right side
    481,426.70x = 119,641,627,258.22
  5. Step 5: Solve for x
    x = 119,641,627,258.22/481,426.70
  6. Step 6: Final answer
    x = 248,514.73

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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.