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Finding the Fourth Proportional to 407,086.72, 610,480.32 and 140,778.88

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Solution

The fourth proportional to 407,086.72, 610,480.32 and 140,778.88 is: 211,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,086.72 : 610,480.32 = 140,778.88 : x
  2. Step 2: Convert to fraction form
    407,086.72/610,480.32 = 140,778.88/x
  3. Step 3: Cross multiply
    407,086.72x = 610,480.32 × 140,778.88
  4. Step 4: Simplify right side
    407,086.72x = 85,942,735,711.64
  5. Step 5: Solve for x
    x = 85,942,735,711.64/407,086.72
  6. Step 6: Final answer
    x = 211,116.53

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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.