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Finding the Fourth Proportional to 312,267.25, 468,413.84 and 90,651.25

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Solution

The fourth proportional to 312,267.25, 468,413.84 and 90,651.25 is: 135,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,267.25 : 468,413.84 = 90,651.25 : x
  2. Step 2: Convert to fraction form
    312,267.25/468,413.84 = 90,651.25/x
  3. Step 3: Cross multiply
    312,267.25x = 468,413.84 × 90,651.25
  4. Step 4: Simplify right side
    312,267.25x = 42,462,299,660.04
  5. Step 5: Solve for x
    x = 42,462,299,660.04/312,267.25
  6. Step 6: Final answer
    x = 135,980.64

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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.