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Finding the Fourth Proportional to 312,447.11, 431,174.87 and 169,203.88

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Solution

The fourth proportional to 312,447.11, 431,174.87 and 169,203.88 is: 233,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.11 : 431,174.87 = 169,203.88 : x
  2. Step 2: Convert to fraction form
    312,447.11/431,174.87 = 169,203.88/x
  3. Step 3: Cross multiply
    312,447.11x = 431,174.87 × 169,203.88
  4. Step 4: Simplify right side
    312,447.11x = 72,956,459,038.54
  5. Step 5: Solve for x
    x = 72,956,459,038.54/312,447.11
  6. Step 6: Final answer
    x = 233,500.19

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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.