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Finding the Fourth Proportional to 312,333.07, 431,019.78 and 169,093.12

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Solution

The fourth proportional to 312,333.07, 431,019.78 and 169,093.12 is: 233,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,333.07 : 431,019.78 = 169,093.12 : x
  2. Step 2: Convert to fraction form
    312,333.07/431,019.78 = 169,093.12/x
  3. Step 3: Cross multiply
    312,333.07x = 431,019.78 × 169,093.12
  4. Step 4: Simplify right side
    312,333.07x = 72,882,479,381.91
  5. Step 5: Solve for x
    x = 72,882,479,381.91/312,333.07
  6. Step 6: Final answer
    x = 233,348.58

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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.