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Finding the Fourth Proportional to 494,164, 682,019.52 and 312,892.78

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Solution

The fourth proportional to 494,164, 682,019.52 and 312,892.78 is: 431,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,164 : 682,019.52 = 312,892.78 : x
  2. Step 2: Convert to fraction form
    494,164/682,019.52 = 312,892.78/x
  3. Step 3: Cross multiply
    494,164x = 682,019.52 × 312,892.78
  4. Step 4: Simplify right side
    494,164x = 213,398,983,627.07
  5. Step 5: Solve for x
    x = 213,398,983,627.07/494,164
  6. Step 6: Final answer
    x = 431,838.38

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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.