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Finding the Fourth Proportional to 605,446.40, 908,265.60 and 206,124.80

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Solution

The fourth proportional to 605,446.40, 908,265.60 and 206,124.80 is: 309,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,446.40 : 908,265.60 = 206,124.80 : x
  2. Step 2: Convert to fraction form
    605,446.40/908,265.60 = 206,124.80/x
  3. Step 3: Cross multiply
    605,446.40x = 908,265.60 × 206,124.80
  4. Step 4: Simplify right side
    605,446.40x = 187,216,065,146.88
  5. Step 5: Solve for x
    x = 187,216,065,146.88/605,446.40
  6. Step 6: Final answer
    x = 309,219.88

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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.