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Finding the Fourth Proportional to 312,377.24, 431,081.16 and 169,138.64

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Solution

The fourth proportional to 312,377.24, 431,081.16 and 169,138.64 is: 233,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,377.24 : 431,081.16 = 169,138.64 : x
  2. Step 2: Convert to fraction form
    312,377.24/431,081.16 = 169,138.64/x
  3. Step 3: Cross multiply
    312,377.24x = 431,081.16 × 169,138.64
  4. Step 4: Simplify right side
    312,377.24x = 72,912,481,132.02
  5. Step 5: Solve for x
    x = 72,912,481,132.02/312,377.24
  6. Step 6: Final answer
    x = 233,411.63

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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.