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Finding the Fourth Proportional to 370,660, 511,507.92 and 200,889.76

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Solution

The fourth proportional to 370,660, 511,507.92 and 200,889.76 is: 277,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,660 : 511,507.92 = 200,889.76 : x
  2. Step 2: Convert to fraction form
    370,660/511,507.92 = 200,889.76/x
  3. Step 3: Cross multiply
    370,660x = 511,507.92 × 200,889.76
  4. Step 4: Simplify right side
    370,660x = 102,756,703,286.90
  5. Step 5: Solve for x
    x = 102,756,703,286.90/370,660
  6. Step 6: Final answer
    x = 277,226.31

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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.