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Finding the Fourth Proportional to 512,802.35, 769,896.08 and 299,788.55

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Solution

The fourth proportional to 512,802.35, 769,896.08 and 299,788.55 is: 450,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,802.35 : 769,896.08 = 299,788.55 : x
  2. Step 2: Convert to fraction form
    512,802.35/769,896.08 = 299,788.55/x
  3. Step 3: Cross multiply
    512,802.35x = 769,896.08 × 299,788.55
  4. Step 4: Simplify right side
    512,802.35x = 230,806,027,974.94
  5. Step 5: Solve for x
    x = 230,806,027,974.94/512,802.35
  6. Step 6: Final answer
    x = 450,087.70

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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.