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Finding the Fourth Proportional to 462,331.80, 638,005.20 and 258,383.58

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Solution

The fourth proportional to 462,331.80, 638,005.20 and 258,383.58 is: 356,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,331.80 : 638,005.20 = 258,383.58 : x
  2. Step 2: Convert to fraction form
    462,331.80/638,005.20 = 258,383.58/x
  3. Step 3: Cross multiply
    462,331.80x = 638,005.20 × 258,383.58
  4. Step 4: Simplify right side
    462,331.80x = 164,850,067,634.62
  5. Step 5: Solve for x
    x = 164,850,067,634.62/462,331.80
  6. Step 6: Final answer
    x = 356,562.25

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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.