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Finding the Fourth Proportional to 445,836.84, 668,240.25 and 205,448.10

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Solution

The fourth proportional to 445,836.84, 668,240.25 and 205,448.10 is: 307,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,836.84 : 668,240.25 = 205,448.10 : x
  2. Step 2: Convert to fraction form
    445,836.84/668,240.25 = 205,448.10/x
  3. Step 3: Cross multiply
    445,836.84x = 668,240.25 × 205,448.10
  4. Step 4: Simplify right side
    445,836.84x = 137,288,689,706.03
  5. Step 5: Solve for x
    x = 137,288,689,706.03/445,836.84
  6. Step 6: Final answer
    x = 307,934.83

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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.