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Finding the Fourth Proportional to 497,585.60, 746,475.60 and 198,015.20

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Solution

The fourth proportional to 497,585.60, 746,475.60 and 198,015.20 is: 297,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,585.60 : 746,475.60 = 198,015.20 : x
  2. Step 2: Convert to fraction form
    497,585.60/746,475.60 = 198,015.20/x
  3. Step 3: Cross multiply
    497,585.60x = 746,475.60 × 198,015.20
  4. Step 4: Simplify right side
    497,585.60x = 147,813,515,229.12
  5. Step 5: Solve for x
    x = 147,813,515,229.12/497,585.60
  6. Step 6: Final answer
    x = 297,061.48

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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.