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Finding the Fourth Proportional to 408,647.60, 613,432.20 and 242,529.20

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Solution

The fourth proportional to 408,647.60, 613,432.20 and 242,529.20 is: 364,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,647.60 : 613,432.20 = 242,529.20 : x
  2. Step 2: Convert to fraction form
    408,647.60/613,432.20 = 242,529.20/x
  3. Step 3: Cross multiply
    408,647.60x = 613,432.20 × 242,529.20
  4. Step 4: Simplify right side
    408,647.60x = 148,775,220,720.24
  5. Step 5: Solve for x
    x = 148,775,220,720.24/408,647.60
  6. Step 6: Final answer
    x = 364,067.28

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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.