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Finding the Fourth Proportional to 312,242.25, 468,379.95 and 99,026.97

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Solution

The fourth proportional to 312,242.25, 468,379.95 and 99,026.97 is: 148,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242.25 : 468,379.95 = 99,026.97 : x
  2. Step 2: Convert to fraction form
    312,242.25/468,379.95 = 99,026.97/x
  3. Step 3: Cross multiply
    312,242.25x = 468,379.95 × 99,026.97
  4. Step 4: Simplify right side
    312,242.25x = 46,382,247,257.25
  5. Step 5: Solve for x
    x = 46,382,247,257.25/312,242.25
  6. Step 6: Final answer
    x = 148,545.71

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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.