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Finding the Fourth Proportional to 512,081.60, 768,122.40 and 428,100.80

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Solution

The fourth proportional to 512,081.60, 768,122.40 and 428,100.80 is: 642,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.60 : 768,122.40 = 428,100.80 : x
  2. Step 2: Convert to fraction form
    512,081.60/768,122.40 = 428,100.80/x
  3. Step 3: Cross multiply
    512,081.60x = 768,122.40 × 428,100.80
  4. Step 4: Simplify right side
    512,081.60x = 328,833,813,937.92
  5. Step 5: Solve for x
    x = 328,833,813,937.92/512,081.60
  6. Step 6: Final answer
    x = 642,151.20

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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.