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Finding the Fourth Proportional to 494,394.32, 682,013.76 and 312,800.42

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Solution

The fourth proportional to 494,394.32, 682,013.76 and 312,800.42 is: 431,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,394.32 : 682,013.76 = 312,800.42 : x
  2. Step 2: Convert to fraction form
    494,394.32/682,013.76 = 312,800.42/x
  3. Step 3: Cross multiply
    494,394.32x = 682,013.76 × 312,800.42
  4. Step 4: Simplify right side
    494,394.32x = 213,334,187,163.71
  5. Step 5: Solve for x
    x = 213,334,187,163.71/494,394.32
  6. Step 6: Final answer
    x = 431,506.15

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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.