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Finding the Fourth Proportional to 512,542.64, 768,279 and 175,484

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Solution

The fourth proportional to 512,542.64, 768,279 and 175,484 is: 263,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,542.64 : 768,279 = 175,484 : x
  2. Step 2: Convert to fraction form
    512,542.64/768,279 = 175,484/x
  3. Step 3: Cross multiply
    512,542.64x = 768,279 × 175,484
  4. Step 4: Simplify right side
    512,542.64x = 134,820,672,036
  5. Step 5: Solve for x
    x = 134,820,672,036/512,542.64
  6. Step 6: Final answer
    x = 263,042.84

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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.