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Finding the Fourth Proportional to 312,224.50, 430,869 and 168,984.55

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Solution

The fourth proportional to 312,224.50, 430,869 and 168,984.55 is: 233,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,224.50 : 430,869 = 168,984.55 : x
  2. Step 2: Convert to fraction form
    312,224.50/430,869 = 168,984.55/x
  3. Step 3: Cross multiply
    312,224.50x = 430,869 × 168,984.55
  4. Step 4: Simplify right side
    312,224.50x = 72,810,204,073.95
  5. Step 5: Solve for x
    x = 72,810,204,073.95/312,224.50
  6. Step 6: Final answer
    x = 233,198.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.