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Finding the Fourth Proportional to 213,793.43, 320,800.80 and 155,113.43

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Solution

The fourth proportional to 213,793.43, 320,800.80 and 155,113.43 is: 232,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.43 : 320,800.80 = 155,113.43 : x
  2. Step 2: Convert to fraction form
    213,793.43/320,800.80 = 155,113.43/x
  3. Step 3: Cross multiply
    213,793.43x = 320,800.80 × 155,113.43
  4. Step 4: Simplify right side
    213,793.43x = 49,760,512,434.74
  5. Step 5: Solve for x
    x = 49,760,512,434.74/213,793.43
  6. Step 6: Final answer
    x = 232,750.43

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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.