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Finding the Fourth Proportional to 465,295.80, 641,944.69 and 304,245.12

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Solution

The fourth proportional to 465,295.80, 641,944.69 and 304,245.12 is: 419,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,295.80 : 641,944.69 = 304,245.12 : x
  2. Step 2: Convert to fraction form
    465,295.80/641,944.69 = 304,245.12/x
  3. Step 3: Cross multiply
    465,295.80x = 641,944.69 × 304,245.12
  4. Step 4: Simplify right side
    465,295.80x = 195,308,542,030.01
  5. Step 5: Solve for x
    x = 195,308,542,030.01/465,295.80
  6. Step 6: Final answer
    x = 419,751.35

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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.