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Finding the Fourth Proportional to 213,721.20, 320,581.80 and 210,610.80

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Solution

The fourth proportional to 213,721.20, 320,581.80 and 210,610.80 is: 315,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,721.20 : 320,581.80 = 210,610.80 : x
  2. Step 2: Convert to fraction form
    213,721.20/320,581.80 = 210,610.80/x
  3. Step 3: Cross multiply
    213,721.20x = 320,581.80 × 210,610.80
  4. Step 4: Simplify right side
    213,721.20x = 67,517,989,363.44
  5. Step 5: Solve for x
    x = 67,517,989,363.44/213,721.20
  6. Step 6: Final answer
    x = 315,916.20

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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.