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Finding the Fourth Proportional to 219,808.40, 329,712.60 and 164,039.90

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Solution

The fourth proportional to 219,808.40, 329,712.60 and 164,039.90 is: 246,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,808.40 : 329,712.60 = 164,039.90 : x
  2. Step 2: Convert to fraction form
    219,808.40/329,712.60 = 164,039.90/x
  3. Step 3: Cross multiply
    219,808.40x = 329,712.60 × 164,039.90
  4. Step 4: Simplify right side
    219,808.40x = 54,086,021,932.74
  5. Step 5: Solve for x
    x = 54,086,021,932.74/219,808.40
  6. Step 6: Final answer
    x = 246,059.85

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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.