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Finding the Fourth Proportional to 307,105.66, 423,788.29 and 169,257.21

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Solution

The fourth proportional to 307,105.66, 423,788.29 and 169,257.21 is: 233,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,105.66 : 423,788.29 = 169,257.21 : x
  2. Step 2: Convert to fraction form
    307,105.66/423,788.29 = 169,257.21/x
  3. Step 3: Cross multiply
    307,105.66x = 423,788.29 × 169,257.21
  4. Step 4: Simplify right side
    307,105.66x = 71,729,223,596.07
  5. Step 5: Solve for x
    x = 71,729,223,596.07/307,105.66
  6. Step 6: Final answer
    x = 233,565.29

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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.