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Finding the Fourth Proportional to 605,738.20, 908,607.30 and 416,781.40

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Solution

The fourth proportional to 605,738.20, 908,607.30 and 416,781.40 is: 625,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,738.20 : 908,607.30 = 416,781.40 : x
  2. Step 2: Convert to fraction form
    605,738.20/908,607.30 = 416,781.40/x
  3. Step 3: Cross multiply
    605,738.20x = 908,607.30 × 416,781.40
  4. Step 4: Simplify right side
    605,738.20x = 378,690,622,544.22
  5. Step 5: Solve for x
    x = 378,690,622,544.22/605,738.20
  6. Step 6: Final answer
    x = 625,172.10

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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.