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Finding the Fourth Proportional to 490,329.07, 676,709.03 and 296,843.42

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Solution

The fourth proportional to 490,329.07, 676,709.03 and 296,843.42 is: 409,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,329.07 : 676,709.03 = 296,843.42 : x
  2. Step 2: Convert to fraction form
    490,329.07/676,709.03 = 296,843.42/x
  3. Step 3: Cross multiply
    490,329.07x = 676,709.03 × 296,843.42
  4. Step 4: Simplify right side
    490,329.07x = 200,876,625,243.96
  5. Step 5: Solve for x
    x = 200,876,625,243.96/490,329.07
  6. Step 6: Final answer
    x = 409,677.17

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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.