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Finding the Fourth Proportional to 303,471.36, 418,832.64 and 169,344

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Solution

The fourth proportional to 303,471.36, 418,832.64 and 169,344 is: 233,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,471.36 : 418,832.64 = 169,344 : x
  2. Step 2: Convert to fraction form
    303,471.36/418,832.64 = 169,344/x
  3. Step 3: Cross multiply
    303,471.36x = 418,832.64 × 169,344
  4. Step 4: Simplify right side
    303,471.36x = 70,926,794,588.16
  5. Step 5: Solve for x
    x = 70,926,794,588.16/303,471.36
  6. Step 6: Final answer
    x = 233,718.25

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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.