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Finding the Fourth Proportional to 313,105.65, 432,086.63 and 169,865.69

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Solution

The fourth proportional to 313,105.65, 432,086.63 and 169,865.69 is: 234,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105.65 : 432,086.63 = 169,865.69 : x
  2. Step 2: Convert to fraction form
    313,105.65/432,086.63 = 169,865.69/x
  3. Step 3: Cross multiply
    313,105.65x = 432,086.63 × 169,865.69
  4. Step 4: Simplify right side
    313,105.65x = 73,396,690,534.96
  5. Step 5: Solve for x
    x = 73,396,690,534.96/313,105.65
  6. Step 6: Final answer
    x = 234,415.10

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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.