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Finding the Fourth Proportional to 475,857.27, 656,725.17 and 261,039.20

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Solution

The fourth proportional to 475,857.27, 656,725.17 and 261,039.20 is: 360,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,857.27 : 656,725.17 = 261,039.20 : x
  2. Step 2: Convert to fraction form
    475,857.27/656,725.17 = 261,039.20/x
  3. Step 3: Cross multiply
    475,857.27x = 656,725.17 × 261,039.20
  4. Step 4: Simplify right side
    475,857.27x = 171,431,009,713.04
  5. Step 5: Solve for x
    x = 171,431,009,713.04/475,857.27
  6. Step 6: Final answer
    x = 360,257.20

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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.