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Finding the Fourth Proportional to 309,603.31, 464,413.85 and 84,965.61

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Solution

The fourth proportional to 309,603.31, 464,413.85 and 84,965.61 is: 127,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,603.31 : 464,413.85 = 84,965.61 : x
  2. Step 2: Convert to fraction form
    309,603.31/464,413.85 = 84,965.61/x
  3. Step 3: Cross multiply
    309,603.31x = 464,413.85 × 84,965.61
  4. Step 4: Simplify right side
    309,603.31x = 39,459,205,558.65
  5. Step 5: Solve for x
    x = 39,459,205,558.65/309,603.31
  6. Step 6: Final answer
    x = 127,450.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.