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Finding the Fourth Proportional to 298,162.50, 447,246.12 and 108,758.58

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Solution

The fourth proportional to 298,162.50, 447,246.12 and 108,758.58 is: 163,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,162.50 : 447,246.12 = 108,758.58 : x
  2. Step 2: Convert to fraction form
    298,162.50/447,246.12 = 108,758.58/x
  3. Step 3: Cross multiply
    298,162.50x = 447,246.12 × 108,758.58
  4. Step 4: Simplify right side
    298,162.50x = 48,641,852,921.71
  5. Step 5: Solve for x
    x = 48,641,852,921.71/298,162.50
  6. Step 6: Final answer
    x = 163,138.73

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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.