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Finding the Fourth Proportional to 312,266.75, 468,413.09 and 90,650.75

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Solution

The fourth proportional to 312,266.75, 468,413.09 and 90,650.75 is: 135,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266.75 : 468,413.09 = 90,650.75 : x
  2. Step 2: Convert to fraction form
    312,266.75/468,413.09 = 90,650.75/x
  3. Step 3: Cross multiply
    312,266.75x = 468,413.09 × 90,650.75
  4. Step 4: Simplify right side
    312,266.75x = 42,461,997,465.06
  5. Step 5: Solve for x
    x = 42,461,997,465.06/312,266.75
  6. Step 6: Final answer
    x = 135,979.89

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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.