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Finding the Fourth Proportional to 418,021.20, 627,031.80 and 137,470.80

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Solution

The fourth proportional to 418,021.20, 627,031.80 and 137,470.80 is: 206,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,021.20 : 627,031.80 = 137,470.80 : x
  2. Step 2: Convert to fraction form
    418,021.20/627,031.80 = 137,470.80/x
  3. Step 3: Cross multiply
    418,021.20x = 627,031.80 × 137,470.80
  4. Step 4: Simplify right side
    418,021.20x = 86,198,563,171.44
  5. Step 5: Solve for x
    x = 86,198,563,171.44/418,021.20
  6. Step 6: Final answer
    x = 206,206.20

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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.