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Finding the Fourth Proportional to 512,788.72, 768,699.24 and 180,183.28

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Solution

The fourth proportional to 512,788.72, 768,699.24 and 180,183.28 is: 270,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,788.72 : 768,699.24 = 180,183.28 : x
  2. Step 2: Convert to fraction form
    512,788.72/768,699.24 = 180,183.28/x
  3. Step 3: Cross multiply
    512,788.72x = 768,699.24 × 180,183.28
  4. Step 4: Simplify right side
    512,788.72x = 138,506,750,396.71
  5. Step 5: Solve for x
    x = 138,506,750,396.71/512,788.72
  6. Step 6: Final answer
    x = 270,104.91

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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.