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Finding the Fourth Proportional to 605,213.20, 908,694.60 and 456,497.20

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Solution

The fourth proportional to 605,213.20, 908,694.60 and 456,497.20 is: 685,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,213.20 : 908,694.60 = 456,497.20 : x
  2. Step 2: Convert to fraction form
    605,213.20/908,694.60 = 456,497.20/x
  3. Step 3: Cross multiply
    605,213.20x = 908,694.60 × 456,497.20
  4. Step 4: Simplify right side
    605,213.20x = 414,816,540,555.12
  5. Step 5: Solve for x
    x = 414,816,540,555.12/605,213.20
  6. Step 6: Final answer
    x = 685,405.64

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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.