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Finding the Fourth Proportional to 414,304.80, 621,470.16 and 133,824.48

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Solution

The fourth proportional to 414,304.80, 621,470.16 and 133,824.48 is: 200,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,304.80 : 621,470.16 = 133,824.48 : x
  2. Step 2: Convert to fraction form
    414,304.80/621,470.16 = 133,824.48/x
  3. Step 3: Cross multiply
    414,304.80x = 621,470.16 × 133,824.48
  4. Step 4: Simplify right side
    414,304.80x = 83,167,920,997.52
  5. Step 5: Solve for x
    x = 83,167,920,997.52/414,304.80
  6. Step 6: Final answer
    x = 200,740.91

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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.