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Finding the Fourth Proportional to 462,791.40, 638,647.84 and 258,839.88

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Solution

The fourth proportional to 462,791.40, 638,647.84 and 258,839.88 is: 357,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,791.40 : 638,647.84 = 258,839.88 : x
  2. Step 2: Convert to fraction form
    462,791.40/638,647.84 = 258,839.88/x
  3. Step 3: Cross multiply
    462,791.40x = 638,647.84 × 258,839.88
  4. Step 4: Simplify right side
    462,791.40x = 165,307,530,267.86
  5. Step 5: Solve for x
    x = 165,307,530,267.86/462,791.40
  6. Step 6: Final answer
    x = 357,196.63

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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.