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Finding the Fourth Proportional to 605,748.64, 908,448 and 206,380.57

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Solution

The fourth proportional to 605,748.64, 908,448 and 206,380.57 is: 309,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,748.64 : 908,448 = 206,380.57 : x
  2. Step 2: Convert to fraction form
    605,748.64/908,448 = 206,380.57/x
  3. Step 3: Cross multiply
    605,748.64x = 908,448 × 206,380.57
  4. Step 4: Simplify right side
    605,748.64x = 187,486,016,055.36
  5. Step 5: Solve for x
    x = 187,486,016,055.36/605,748.64
  6. Step 6: Final answer
    x = 309,511.25

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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.