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Finding the Fourth Proportional to 462,694.61, 638,514.18 and 258,743.21

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Solution

The fourth proportional to 462,694.61, 638,514.18 and 258,743.21 is: 357,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,694.61 : 638,514.18 = 258,743.21 : x
  2. Step 2: Convert to fraction form
    462,694.61/638,514.18 = 258,743.21/x
  3. Step 3: Cross multiply
    462,694.61x = 638,514.18 × 258,743.21
  4. Step 4: Simplify right side
    462,694.61x = 165,211,205,371.15
  5. Step 5: Solve for x
    x = 165,211,205,371.15/462,694.61
  6. Step 6: Final answer
    x = 357,063.17

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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.