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Finding the Fourth Proportional to 305,814.81, 422,019.09 and 169,843.56

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Solution

The fourth proportional to 305,814.81, 422,019.09 and 169,843.56 is: 234,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,814.81 : 422,019.09 = 169,843.56 : x
  2. Step 2: Convert to fraction form
    305,814.81/422,019.09 = 169,843.56/x
  3. Step 3: Cross multiply
    305,814.81x = 422,019.09 × 169,843.56
  4. Step 4: Simplify right side
    305,814.81x = 71,677,224,633.56
  5. Step 5: Solve for x
    x = 71,677,224,633.56/305,814.81
  6. Step 6: Final answer
    x = 234,381.14

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1.5x scale

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.