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Finding the Fourth Proportional to 465,618.30, 641,940.40 and 304,192.86

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Solution

The fourth proportional to 465,618.30, 641,940.40 and 304,192.86 is: 419,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,618.30 : 641,940.40 = 304,192.86 : x
  2. Step 2: Convert to fraction form
    465,618.30/641,940.40 = 304,192.86/x
  3. Step 3: Cross multiply
    465,618.30x = 641,940.40 × 304,192.86
  4. Step 4: Simplify right side
    465,618.30x = 195,273,686,225.54
  5. Step 5: Solve for x
    x = 195,273,686,225.54/465,618.30
  6. Step 6: Final answer
    x = 419,385.76

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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.