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Finding the Fourth Proportional to 259,836.16, 389,728.70 and 176,134

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Solution

The fourth proportional to 259,836.16, 389,728.70 and 176,134 is: 264,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,836.16 : 389,728.70 = 176,134 : x
  2. Step 2: Convert to fraction form
    259,836.16/389,728.70 = 176,134/x
  3. Step 3: Cross multiply
    259,836.16x = 389,728.70 × 176,134
  4. Step 4: Simplify right side
    259,836.16x = 68,644,474,845.80
  5. Step 5: Solve for x
    x = 68,644,474,845.80/259,836.16
  6. Step 6: Final answer
    x = 264,183.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.