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Finding the Fourth Proportional to 408,022.60, 612,033.90 and 378,531.40

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Solution

The fourth proportional to 408,022.60, 612,033.90 and 378,531.40 is: 567,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.60 : 612,033.90 = 378,531.40 : x
  2. Step 2: Convert to fraction form
    408,022.60/612,033.90 = 378,531.40/x
  3. Step 3: Cross multiply
    408,022.60x = 612,033.90 × 378,531.40
  4. Step 4: Simplify right side
    408,022.60x = 231,674,049,014.46
  5. Step 5: Solve for x
    x = 231,674,049,014.46/408,022.60
  6. Step 6: Final answer
    x = 567,797.10

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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.