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Finding the Fourth Proportional to 431,205.60, 646,778.16 and 161,282.40

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Solution

The fourth proportional to 431,205.60, 646,778.16 and 161,282.40 is: 241,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,205.60 : 646,778.16 = 161,282.40 : x
  2. Step 2: Convert to fraction form
    431,205.60/646,778.16 = 161,282.40/x
  3. Step 3: Cross multiply
    431,205.60x = 646,778.16 × 161,282.40
  4. Step 4: Simplify right side
    431,205.60x = 104,313,933,912.38
  5. Step 5: Solve for x
    x = 104,313,933,912.38/431,205.60
  6. Step 6: Final answer
    x = 241,912.29

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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.