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Finding the Fourth Proportional to 230,109.40, 344,580.90 and 219,611.80

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Solution

The fourth proportional to 230,109.40, 344,580.90 and 219,611.80 is: 328,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,109.40 : 344,580.90 = 219,611.80 : x
  2. Step 2: Convert to fraction form
    230,109.40/344,580.90 = 219,611.80/x
  3. Step 3: Cross multiply
    230,109.40x = 344,580.90 × 219,611.80
  4. Step 4: Simplify right side
    230,109.40x = 75,674,031,694.62
  5. Step 5: Solve for x
    x = 75,674,031,694.62/230,109.40
  6. Step 6: Final answer
    x = 328,861.11

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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.