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Finding the Fourth Proportional to 512,005.75, 768,008.64 and 138,028.75

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Solution

The fourth proportional to 512,005.75, 768,008.64 and 138,028.75 is: 207,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,005.75 : 768,008.64 = 138,028.75 : x
  2. Step 2: Convert to fraction form
    512,005.75/768,008.64 = 138,028.75/x
  3. Step 3: Cross multiply
    512,005.75x = 768,008.64 × 138,028.75
  4. Step 4: Simplify right side
    512,005.75x = 106,007,272,568.40
  5. Step 5: Solve for x
    x = 106,007,272,568.40/512,005.75
  6. Step 6: Final answer
    x = 207,043.13

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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.