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Finding the Fourth Proportional to 200,629.71, 300,778.38 and 156,452.31

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Solution

The fourth proportional to 200,629.71, 300,778.38 and 156,452.31 is: 234,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,629.71 : 300,778.38 = 156,452.31 : x
  2. Step 2: Convert to fraction form
    200,629.71/300,778.38 = 156,452.31/x
  3. Step 3: Cross multiply
    200,629.71x = 300,778.38 × 156,452.31
  4. Step 4: Simplify right side
    200,629.71x = 47,057,472,349.06
  5. Step 5: Solve for x
    x = 47,057,472,349.06/200,629.71
  6. Step 6: Final answer
    x = 234,548.87

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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.