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Finding the Fourth Proportional to 462,789.25, 638,650.66 and 258,843.67

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Solution

The fourth proportional to 462,789.25, 638,650.66 and 258,843.67 is: 357,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,789.25 : 638,650.66 = 258,843.67 : x
  2. Step 2: Convert to fraction form
    462,789.25/638,650.66 = 258,843.67/x
  3. Step 3: Cross multiply
    462,789.25x = 638,650.66 × 258,843.67
  4. Step 4: Simplify right side
    462,789.25x = 165,310,680,682.32
  5. Step 5: Solve for x
    x = 165,310,680,682.32/462,789.25
  6. Step 6: Final answer
    x = 357,205.10

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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.