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Finding the Fourth Proportional to 275,300.85, 412,907.10 and 75,574.60

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Solution

The fourth proportional to 275,300.85, 412,907.10 and 75,574.60 is: 113,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300.85 : 412,907.10 = 75,574.60 : x
  2. Step 2: Convert to fraction form
    275,300.85/412,907.10 = 75,574.60/x
  3. Step 3: Cross multiply
    275,300.85x = 412,907.10 × 75,574.60
  4. Step 4: Simplify right side
    275,300.85x = 31,205,288,919.66
  5. Step 5: Solve for x
    x = 31,205,288,919.66/275,300.85
  6. Step 6: Final answer
    x = 113,349.77

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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.