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Finding the Fourth Proportional to 312,986.22, 469,516.04 and 99,679.40

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Solution

The fourth proportional to 312,986.22, 469,516.04 and 99,679.40 is: 149,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,986.22 : 469,516.04 = 99,679.40 : x
  2. Step 2: Convert to fraction form
    312,986.22/469,516.04 = 99,679.40/x
  3. Step 3: Cross multiply
    312,986.22x = 469,516.04 × 99,679.40
  4. Step 4: Simplify right side
    312,986.22x = 46,801,077,157.58
  5. Step 5: Solve for x
    x = 46,801,077,157.58/312,986.22
  6. Step 6: Final answer
    x = 149,530.79

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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.