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Finding the Fourth Proportional to 512,268.48, 768,943.80 and 287,820.72

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Solution

The fourth proportional to 512,268.48, 768,943.80 and 287,820.72 is: 432,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,268.48 : 768,943.80 = 287,820.72 : x
  2. Step 2: Convert to fraction form
    512,268.48/768,943.80 = 287,820.72/x
  3. Step 3: Cross multiply
    512,268.48x = 768,943.80 × 287,820.72
  4. Step 4: Simplify right side
    512,268.48x = 221,317,958,155.54
  5. Step 5: Solve for x
    x = 221,317,958,155.54/512,268.48
  6. Step 6: Final answer
    x = 432,035.09

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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.