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Finding the Fourth Proportional to 200,576.80, 300,946.20 and 88,278.40

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Solution

The fourth proportional to 200,576.80, 300,946.20 and 88,278.40 is: 132,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576.80 : 300,946.20 = 88,278.40 : x
  2. Step 2: Convert to fraction form
    200,576.80/300,946.20 = 88,278.40/x
  3. Step 3: Cross multiply
    200,576.80x = 300,946.20 × 88,278.40
  4. Step 4: Simplify right side
    200,576.80x = 26,567,049,022.08
  5. Step 5: Solve for x
    x = 26,567,049,022.08/200,576.80
  6. Step 6: Final answer
    x = 132,453.25

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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.