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Finding the Fourth Proportional to 312,431.71, 468,331.99 and 123,025

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Solution

The fourth proportional to 312,431.71, 468,331.99 and 123,025 is: 184,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,431.71 : 468,331.99 = 123,025 : x
  2. Step 2: Convert to fraction form
    312,431.71/468,331.99 = 123,025/x
  3. Step 3: Cross multiply
    312,431.71x = 468,331.99 × 123,025
  4. Step 4: Simplify right side
    312,431.71x = 57,616,543,069.75
  5. Step 5: Solve for x
    x = 57,616,543,069.75/312,431.71
  6. Step 6: Final answer
    x = 184,413.24

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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.