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Finding the Fourth Proportional to 213,822.40, 320,042.40 and 166,820.80

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Solution

The fourth proportional to 213,822.40, 320,042.40 and 166,820.80 is: 249,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,822.40 : 320,042.40 = 166,820.80 : x
  2. Step 2: Convert to fraction form
    213,822.40/320,042.40 = 166,820.80/x
  3. Step 3: Cross multiply
    213,822.40x = 320,042.40 × 166,820.80
  4. Step 4: Simplify right side
    213,822.40x = 53,389,729,201.92
  5. Step 5: Solve for x
    x = 53,389,729,201.92/213,822.40
  6. Step 6: Final answer
    x = 249,691.94

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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.