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Finding the Fourth Proportional to 512,999.72, 769,460.70 and 180,342.44

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Solution

The fourth proportional to 512,999.72, 769,460.70 and 180,342.44 is: 270,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.72 : 769,460.70 = 180,342.44 : x
  2. Step 2: Convert to fraction form
    512,999.72/769,460.70 = 180,342.44/x
  3. Step 3: Cross multiply
    512,999.72x = 769,460.70 × 180,342.44
  4. Step 4: Simplify right side
    512,999.72x = 138,766,420,122.11
  5. Step 5: Solve for x
    x = 138,766,420,122.11/512,999.72
  6. Step 6: Final answer
    x = 270,499.99

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1.5x scale

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.