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Finding the Fourth Proportional to 494,514, 682,429.32 and 268,159.68

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Solution

The fourth proportional to 494,514, 682,429.32 and 268,159.68 is: 370,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,514 : 682,429.32 = 268,159.68 : x
  2. Step 2: Convert to fraction form
    494,514/682,429.32 = 268,159.68/x
  3. Step 3: Cross multiply
    494,514x = 682,429.32 × 268,159.68
  4. Step 4: Simplify right side
    494,514x = 183,000,028,073.82
  5. Step 5: Solve for x
    x = 183,000,028,073.82/494,514
  6. Step 6: Final answer
    x = 370,060.36

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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.