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Finding the Fourth Proportional to 219,740.40, 329,610.60 and 163,971.90

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Solution

The fourth proportional to 219,740.40, 329,610.60 and 163,971.90 is: 245,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,740.40 : 329,610.60 = 163,971.90 : x
  2. Step 2: Convert to fraction form
    219,740.40/329,610.60 = 163,971.90/x
  3. Step 3: Cross multiply
    219,740.40x = 329,610.60 × 163,971.90
  4. Step 4: Simplify right side
    219,740.40x = 54,046,876,342.14
  5. Step 5: Solve for x
    x = 54,046,876,342.14/219,740.40
  6. Step 6: Final answer
    x = 245,957.85

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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.