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Finding the Fourth Proportional to 230,403, 345,604.50 and 55,299

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Solution

The fourth proportional to 230,403, 345,604.50 and 55,299 is: 82,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,403 : 345,604.50 = 55,299 : x
  2. Step 2: Convert to fraction form
    230,403/345,604.50 = 55,299/x
  3. Step 3: Cross multiply
    230,403x = 345,604.50 × 55,299
  4. Step 4: Simplify right side
    230,403x = 19,111,583,245.50
  5. Step 5: Solve for x
    x = 19,111,583,245.50/230,403
  6. Step 6: Final answer
    x = 82,948.50

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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.