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Finding the Fourth Proportional to 275,406.30, 412,307.06 and 204,642.72

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Solution

The fourth proportional to 275,406.30, 412,307.06 and 204,642.72 is: 306,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406.30 : 412,307.06 = 204,642.72 : x
  2. Step 2: Convert to fraction form
    275,406.30/412,307.06 = 204,642.72/x
  3. Step 3: Cross multiply
    275,406.30x = 412,307.06 × 204,642.72
  4. Step 4: Simplify right side
    275,406.30x = 84,375,637,210.39
  5. Step 5: Solve for x
    x = 84,375,637,210.39/275,406.30
  6. Step 6: Final answer
    x = 306,367.85

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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.