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Finding the Fourth Proportional to 205,099.20, 307,648.80 and 200,491.20

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Solution

The fourth proportional to 205,099.20, 307,648.80 and 200,491.20 is: 300,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.20 : 307,648.80 = 200,491.20 : x
  2. Step 2: Convert to fraction form
    205,099.20/307,648.80 = 200,491.20/x
  3. Step 3: Cross multiply
    205,099.20x = 307,648.80 × 200,491.20
  4. Step 4: Simplify right side
    205,099.20x = 61,680,877,090.56
  5. Step 5: Solve for x
    x = 61,680,877,090.56/205,099.20
  6. Step 6: Final answer
    x = 300,736.80

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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.