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Finding the Fourth Proportional to 494,392.82, 682,011.70 and 312,798.92

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Solution

The fourth proportional to 494,392.82, 682,011.70 and 312,798.92 is: 431,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,392.82 : 682,011.70 = 312,798.92 : x
  2. Step 2: Convert to fraction form
    494,392.82/682,011.70 = 312,798.92/x
  3. Step 3: Cross multiply
    494,392.82x = 682,011.70 × 312,798.92
  4. Step 4: Simplify right side
    494,392.82x = 213,332,518,995.31
  5. Step 5: Solve for x
    x = 213,332,518,995.31/494,392.82
  6. Step 6: Final answer
    x = 431,504.08

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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.