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Finding the Fourth Proportional to 370,488.54, 511,274.68 and 200,722.66

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Solution

The fourth proportional to 370,488.54, 511,274.68 and 200,722.66 is: 276,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,488.54 : 511,274.68 = 200,722.66 : x
  2. Step 2: Convert to fraction form
    370,488.54/511,274.68 = 200,722.66/x
  3. Step 3: Cross multiply
    370,488.54x = 511,274.68 × 200,722.66
  4. Step 4: Simplify right side
    370,488.54x = 102,624,413,760.25
  5. Step 5: Solve for x
    x = 102,624,413,760.25/370,488.54
  6. Step 6: Final answer
    x = 276,997.54

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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.