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Finding the Fourth Proportional to 497,687.92, 746,820.60 and 209,478.04

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Solution

The fourth proportional to 497,687.92, 746,820.60 and 209,478.04 is: 314,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,687.92 : 746,820.60 = 209,478.04 : x
  2. Step 2: Convert to fraction form
    497,687.92/746,820.60 = 209,478.04/x
  3. Step 3: Cross multiply
    497,687.92x = 746,820.60 × 209,478.04
  4. Step 4: Simplify right side
    497,687.92x = 156,442,515,519.62
  5. Step 5: Solve for x
    x = 156,442,515,519.62/497,687.92
  6. Step 6: Final answer
    x = 314,338.58

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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.