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Finding the Fourth Proportional to 200,478, 300,483.72 and 82,005.78

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Solution

The fourth proportional to 200,478, 300,483.72 and 82,005.78 is: 122,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,478 : 300,483.72 = 82,005.78 : x
  2. Step 2: Convert to fraction form
    200,478/300,483.72 = 82,005.78/x
  3. Step 3: Cross multiply
    200,478x = 300,483.72 × 82,005.78
  4. Step 4: Simplify right side
    200,478x = 24,641,401,835.90
  5. Step 5: Solve for x
    x = 24,641,401,835.90/200,478
  6. Step 6: Final answer
    x = 122,913.25

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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.