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Finding the Fourth Proportional to 231,305.79, 319,104.23 and 154,849.51

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Solution

The fourth proportional to 231,305.79, 319,104.23 and 154,849.51 is: 213,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,305.79 : 319,104.23 = 154,849.51 : x
  2. Step 2: Convert to fraction form
    231,305.79/319,104.23 = 154,849.51/x
  3. Step 3: Cross multiply
    231,305.79x = 319,104.23 × 154,849.51
  4. Step 4: Simplify right side
    231,305.79x = 49,413,133,654.43
  5. Step 5: Solve for x
    x = 49,413,133,654.43/231,305.79
  6. Step 6: Final answer
    x = 213,626.88

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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.