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Finding the Fourth Proportional to 312,469.18, 431,208.57 and 169,228.78

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Solution

The fourth proportional to 312,469.18, 431,208.57 and 169,228.78 is: 233,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.18 : 431,208.57 = 169,228.78 : x
  2. Step 2: Convert to fraction form
    312,469.18/431,208.57 = 169,228.78/x
  3. Step 3: Cross multiply
    312,469.18x = 431,208.57 × 169,228.78
  4. Step 4: Simplify right side
    312,469.18x = 72,972,900,226.64
  5. Step 5: Solve for x
    x = 72,972,900,226.64/312,469.18
  6. Step 6: Final answer
    x = 233,536.31

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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.