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Finding the Fourth Proportional to 465,984.93, 642,439.83 and 304,562.46

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Solution

The fourth proportional to 465,984.93, 642,439.83 and 304,562.46 is: 419,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,984.93 : 642,439.83 = 304,562.46 : x
  2. Step 2: Convert to fraction form
    465,984.93/642,439.83 = 304,562.46/x
  3. Step 3: Cross multiply
    465,984.93x = 642,439.83 × 304,562.46
  4. Step 4: Simplify right side
    465,984.93x = 195,663,055,026.78
  5. Step 5: Solve for x
    x = 195,663,055,026.78/465,984.93
  6. Step 6: Final answer
    x = 419,891.38

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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.