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Finding the Fourth Proportional to 312,469.90, 431,209.20 and 169,229.50

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Solution

The fourth proportional to 312,469.90, 431,209.20 and 169,229.50 is: 233,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.90 : 431,209.20 = 169,229.50 : x
  2. Step 2: Convert to fraction form
    312,469.90/431,209.20 = 169,229.50/x
  3. Step 3: Cross multiply
    312,469.90x = 431,209.20 × 169,229.50
  4. Step 4: Simplify right side
    312,469.90x = 72,973,317,311.40
  5. Step 5: Solve for x
    x = 72,973,317,311.40/312,469.90
  6. Step 6: Final answer
    x = 233,537.11

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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.