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Finding the Fourth Proportional to 512,864.76, 769,219.38 and 180,363

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Solution

The fourth proportional to 512,864.76, 769,219.38 and 180,363 is: 270,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,864.76 : 769,219.38 = 180,363 : x
  2. Step 2: Convert to fraction form
    512,864.76/769,219.38 = 180,363/x
  3. Step 3: Cross multiply
    512,864.76x = 769,219.38 × 180,363
  4. Step 4: Simplify right side
    512,864.76x = 138,738,715,034.94
  5. Step 5: Solve for x
    x = 138,738,715,034.94/512,864.76
  6. Step 6: Final answer
    x = 270,517.15

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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.