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Finding the Fourth Proportional to 312,793.47, 469,118.19 and 186,469.30

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Solution

The fourth proportional to 312,793.47, 469,118.19 and 186,469.30 is: 279,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,793.47 : 469,118.19 = 186,469.30 : x
  2. Step 2: Convert to fraction form
    312,793.47/469,118.19 = 186,469.30/x
  3. Step 3: Cross multiply
    312,793.47x = 469,118.19 × 186,469.30
  4. Step 4: Simplify right side
    312,793.47x = 87,476,140,506.57
  5. Step 5: Solve for x
    x = 87,476,140,506.57/312,793.47
  6. Step 6: Final answer
    x = 279,661.02

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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.