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Finding the Fourth Proportional to 312,486.48, 468,751.80 and 154,672.56

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Solution

The fourth proportional to 312,486.48, 468,751.80 and 154,672.56 is: 232,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,486.48 : 468,751.80 = 154,672.56 : x
  2. Step 2: Convert to fraction form
    312,486.48/468,751.80 = 154,672.56/x
  3. Step 3: Cross multiply
    312,486.48x = 468,751.80 × 154,672.56
  4. Step 4: Simplify right side
    312,486.48x = 72,503,040,137.25
  5. Step 5: Solve for x
    x = 72,503,040,137.25/312,486.48
  6. Step 6: Final answer
    x = 232,019.77

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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.