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Finding the Fourth Proportional to 465,297.80, 641,947.45 and 304,247.12

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Solution

The fourth proportional to 465,297.80, 641,947.45 and 304,247.12 is: 419,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,297.80 : 641,947.45 = 304,247.12 : x
  2. Step 2: Convert to fraction form
    465,297.80/641,947.45 = 304,247.12/x
  3. Step 3: Cross multiply
    465,297.80x = 641,947.45 × 304,247.12
  4. Step 4: Simplify right side
    465,297.80x = 195,310,662,853.84
  5. Step 5: Solve for x
    x = 195,310,662,853.84/465,297.80
  6. Step 6: Final answer
    x = 419,754.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.