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Finding the Fourth Proportional to 462,890.72, 638,759.04 and 258,906.32

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Solution

The fourth proportional to 462,890.72, 638,759.04 and 258,906.32 is: 357,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,890.72 : 638,759.04 = 258,906.32 : x
  2. Step 2: Convert to fraction form
    462,890.72/638,759.04 = 258,906.32/x
  3. Step 3: Cross multiply
    462,890.72x = 638,759.04 × 258,906.32
  4. Step 4: Simplify right side
    462,890.72x = 165,378,752,413.13
  5. Step 5: Solve for x
    x = 165,378,752,413.13/462,890.72
  6. Step 6: Final answer
    x = 357,273.86

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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.