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Finding the Fourth Proportional to 312,447.13, 431,174.89 and 169,203.90

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Solution

The fourth proportional to 312,447.13, 431,174.89 and 169,203.90 is: 233,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.13 : 431,174.89 = 169,203.90 : x
  2. Step 2: Convert to fraction form
    312,447.13/431,174.89 = 169,203.90/x
  3. Step 3: Cross multiply
    312,447.13x = 431,174.89 × 169,203.90
  4. Step 4: Simplify right side
    312,447.13x = 72,956,472,970.07
  5. Step 5: Solve for x
    x = 72,956,472,970.07/312,447.13
  6. Step 6: Final answer
    x = 233,500.22

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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.