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Finding the Fourth Proportional to 640,344.84, 959,753.82 and 298,329.48

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Solution

The fourth proportional to 640,344.84, 959,753.82 and 298,329.48 is: 447,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,344.84 : 959,753.82 = 298,329.48 : x
  2. Step 2: Convert to fraction form
    640,344.84/959,753.82 = 298,329.48/x
  3. Step 3: Cross multiply
    640,344.84x = 959,753.82 × 298,329.48
  4. Step 4: Simplify right side
    640,344.84x = 286,322,858,048.61
  5. Step 5: Solve for x
    x = 286,322,858,048.61/640,344.84
  6. Step 6: Final answer
    x = 447,138.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.