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Finding the Fourth Proportional to 408,028.80, 612,043.20 and 345,043.20

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Solution

The fourth proportional to 408,028.80, 612,043.20 and 345,043.20 is: 517,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,028.80 : 612,043.20 = 345,043.20 : x
  2. Step 2: Convert to fraction form
    408,028.80/612,043.20 = 345,043.20/x
  3. Step 3: Cross multiply
    408,028.80x = 612,043.20 × 345,043.20
  4. Step 4: Simplify right side
    408,028.80x = 211,181,344,266.24
  5. Step 5: Solve for x
    x = 211,181,344,266.24/408,028.80
  6. Step 6: Final answer
    x = 517,564.80

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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.