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Finding the Fourth Proportional to 230,540, 345,810 and 64,328

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Solution

The fourth proportional to 230,540, 345,810 and 64,328 is: 96,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,540 : 345,810 = 64,328 : x
  2. Step 2: Convert to fraction form
    230,540/345,810 = 64,328/x
  3. Step 3: Cross multiply
    230,540x = 345,810 × 64,328
  4. Step 4: Simplify right side
    230,540x = 22,245,265,680
  5. Step 5: Solve for x
    x = 22,245,265,680/230,540
  6. Step 6: Final answer
    x = 96,492

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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.