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Finding the Fourth Proportional to 370,488.72, 511,274.94 and 200,722.86

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Solution

The fourth proportional to 370,488.72, 511,274.94 and 200,722.86 is: 276,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,488.72 : 511,274.94 = 200,722.86 : x
  2. Step 2: Convert to fraction form
    370,488.72/511,274.94 = 200,722.86/x
  3. Step 3: Cross multiply
    370,488.72x = 511,274.94 × 200,722.86
  4. Step 4: Simplify right side
    370,488.72x = 102,624,568,203.13
  5. Step 5: Solve for x
    x = 102,624,568,203.13/370,488.72
  6. Step 6: Final answer
    x = 276,997.82

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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.