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Finding the Fourth Proportional to 315,948.20, 473,922.30 and 221,469.80

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Solution

The fourth proportional to 315,948.20, 473,922.30 and 221,469.80 is: 332,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,948.20 : 473,922.30 = 221,469.80 : x
  2. Step 2: Convert to fraction form
    315,948.20/473,922.30 = 221,469.80/x
  3. Step 3: Cross multiply
    315,948.20x = 473,922.30 × 221,469.80
  4. Step 4: Simplify right side
    315,948.20x = 104,959,476,996.54
  5. Step 5: Solve for x
    x = 104,959,476,996.54/315,948.20
  6. Step 6: Final answer
    x = 332,204.70

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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.