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Finding the Fourth Proportional to 414,061.74, 621,092.76 and 129,774.35

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Solution

The fourth proportional to 414,061.74, 621,092.76 and 129,774.35 is: 194,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,061.74 : 621,092.76 = 129,774.35 : x
  2. Step 2: Convert to fraction form
    414,061.74/621,092.76 = 129,774.35/x
  3. Step 3: Cross multiply
    414,061.74x = 621,092.76 × 129,774.35
  4. Step 4: Simplify right side
    414,061.74x = 80,601,910,284.78
  5. Step 5: Solve for x
    x = 80,601,910,284.78/414,061.74
  6. Step 6: Final answer
    x = 194,661.57

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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.