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Finding the Fourth Proportional to 407,850.75, 611,906.13 and 171,129.87

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Solution

The fourth proportional to 407,850.75, 611,906.13 and 171,129.87 is: 256,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850.75 : 611,906.13 = 171,129.87 : x
  2. Step 2: Convert to fraction form
    407,850.75/611,906.13 = 171,129.87/x
  3. Step 3: Cross multiply
    407,850.75x = 611,906.13 × 171,129.87
  4. Step 4: Simplify right side
    407,850.75x = 104,715,416,479.10
  5. Step 5: Solve for x
    x = 104,715,416,479.10/407,850.75
  6. Step 6: Final answer
    x = 256,749.35

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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.