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Finding the Fourth Proportional to 312,808.30, 431,676.03 and 169,567.90

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Solution

The fourth proportional to 312,808.30, 431,676.03 and 169,567.90 is: 234,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,808.30 : 431,676.03 = 169,567.90 : x
  2. Step 2: Convert to fraction form
    312,808.30/431,676.03 = 169,567.90/x
  3. Step 3: Cross multiply
    312,808.30x = 431,676.03 × 169,567.90
  4. Step 4: Simplify right side
    312,808.30x = 73,198,397,887.44
  5. Step 5: Solve for x
    x = 73,198,397,887.44/312,808.30
  6. Step 6: Final answer
    x = 234,004.01

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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.