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Finding the Fourth Proportional to 312,930.22, 469,431.99 and 99,623.41

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Solution

The fourth proportional to 312,930.22, 469,431.99 and 99,623.41 is: 149,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,930.22 : 469,431.99 = 99,623.41 : x
  2. Step 2: Convert to fraction form
    312,930.22/469,431.99 = 99,623.41/x
  3. Step 3: Cross multiply
    312,930.22x = 469,431.99 × 99,623.41
  4. Step 4: Simplify right side
    312,930.22x = 46,766,415,606.89
  5. Step 5: Solve for x
    x = 46,766,415,606.89/312,930.22
  6. Step 6: Final answer
    x = 149,446.79

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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.