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Finding the Fourth Proportional to 408,200.56, 612,374.87 and 168,181.18

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Solution

The fourth proportional to 408,200.56, 612,374.87 and 168,181.18 is: 252,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,200.56 : 612,374.87 = 168,181.18 : x
  2. Step 2: Convert to fraction form
    408,200.56/612,374.87 = 168,181.18/x
  3. Step 3: Cross multiply
    408,200.56x = 612,374.87 × 168,181.18
  4. Step 4: Simplify right side
    408,200.56x = 102,989,925,177.07
  5. Step 5: Solve for x
    x = 102,989,925,177.07/408,200.56
  6. Step 6: Final answer
    x = 252,302.26

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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.