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Finding the Fourth Proportional to 414,314.88, 621,480.69 and 129,999.48

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Solution

The fourth proportional to 414,314.88, 621,480.69 and 129,999.48 is: 195,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,314.88 : 621,480.69 = 129,999.48 : x
  2. Step 2: Convert to fraction form
    414,314.88/621,480.69 = 129,999.48/x
  3. Step 3: Cross multiply
    414,314.88x = 621,480.69 × 129,999.48
  4. Step 4: Simplify right side
    414,314.88x = 80,792,166,530.04
  5. Step 5: Solve for x
    x = 80,792,166,530.04/414,314.88
  6. Step 6: Final answer
    x = 195,001.85

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1.5x scale

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.