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Finding the Fourth Proportional to 312,779.55, 431,636.70 and 169,540.16

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Solution

The fourth proportional to 312,779.55, 431,636.70 and 169,540.16 is: 233,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,779.55 : 431,636.70 = 169,540.16 : x
  2. Step 2: Convert to fraction form
    312,779.55/431,636.70 = 169,540.16/x
  3. Step 3: Cross multiply
    312,779.55x = 431,636.70 × 169,540.16
  4. Step 4: Simplify right side
    312,779.55x = 73,179,753,021.69
  5. Step 5: Solve for x
    x = 73,179,753,021.69/312,779.55
  6. Step 6: Final answer
    x = 233,965.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.