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Finding the Fourth Proportional to 414,063.15, 621,094.82 and 129,753.65

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Solution

The fourth proportional to 414,063.15, 621,094.82 and 129,753.65 is: 194,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063.15 : 621,094.82 = 129,753.65 : x
  2. Step 2: Convert to fraction form
    414,063.15/621,094.82 = 129,753.65/x
  3. Step 3: Cross multiply
    414,063.15x = 621,094.82 × 129,753.65
  4. Step 4: Simplify right side
    414,063.15x = 80,589,316,136.85
  5. Step 5: Solve for x
    x = 80,589,316,136.85/414,063.15
  6. Step 6: Final answer
    x = 194,630.50

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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.