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Finding the Fourth Proportional to 298,685.08, 448,013.04 and 111,682

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Solution

The fourth proportional to 298,685.08, 448,013.04 and 111,682 is: 167,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,685.08 : 448,013.04 = 111,682 : x
  2. Step 2: Convert to fraction form
    298,685.08/448,013.04 = 111,682/x
  3. Step 3: Cross multiply
    298,685.08x = 448,013.04 × 111,682
  4. Step 4: Simplify right side
    298,685.08x = 50,034,992,333.28
  5. Step 5: Solve for x
    x = 50,034,992,333.28/298,685.08
  6. Step 6: Final answer
    x = 167,517.55

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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.