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Finding the Fourth Proportional to 462,694.80, 638,514.45 and 258,743.39

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Solution

The fourth proportional to 462,694.80, 638,514.45 and 258,743.39 is: 357,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,694.80 : 638,514.45 = 258,743.39 : x
  2. Step 2: Convert to fraction form
    462,694.80/638,514.45 = 258,743.39/x
  3. Step 3: Cross multiply
    462,694.80x = 638,514.45 × 258,743.39
  4. Step 4: Simplify right side
    462,694.80x = 165,211,393,356.99
  5. Step 5: Solve for x
    x = 165,211,393,356.99/462,694.80
  6. Step 6: Final answer
    x = 357,063.43

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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.