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Finding the Fourth Proportional to 512,422.98, 769,100.90 and 272,738.11

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Solution

The fourth proportional to 512,422.98, 769,100.90 and 272,738.11 is: 409,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,422.98 : 769,100.90 = 272,738.11 : x
  2. Step 2: Convert to fraction form
    512,422.98/769,100.90 = 272,738.11/x
  3. Step 3: Cross multiply
    512,422.98x = 769,100.90 × 272,738.11
  4. Step 4: Simplify right side
    512,422.98x = 209,763,126,547.14
  5. Step 5: Solve for x
    x = 209,763,126,547.14/512,422.98
  6. Step 6: Final answer
    x = 409,355.42

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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.