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Finding the Fourth Proportional to 312,991.22, 469,523.54 and 99,684.40

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Solution

The fourth proportional to 312,991.22, 469,523.54 and 99,684.40 is: 149,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,991.22 : 469,523.54 = 99,684.40 : x
  2. Step 2: Convert to fraction form
    312,991.22/469,523.54 = 99,684.40/x
  3. Step 3: Cross multiply
    312,991.22x = 469,523.54 × 99,684.40
  4. Step 4: Simplify right side
    312,991.22x = 46,804,172,370.78
  5. Step 5: Solve for x
    x = 46,804,172,370.78/312,991.22
  6. Step 6: Final answer
    x = 149,538.29

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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.