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Finding the Fourth Proportional to 501,171.26, 690,947.25 and 398,147.30

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Solution

The fourth proportional to 501,171.26, 690,947.25 and 398,147.30 is: 548,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,171.26 : 690,947.25 = 398,147.30 : x
  2. Step 2: Convert to fraction form
    501,171.26/690,947.25 = 398,147.30/x
  3. Step 3: Cross multiply
    501,171.26x = 690,947.25 × 398,147.30
  4. Step 4: Simplify right side
    501,171.26x = 275,098,778,575.19
  5. Step 5: Solve for x
    x = 275,098,778,575.19/501,171.26
  6. Step 6: Final answer
    x = 548,911.73

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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.