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Finding the Fourth Proportional to 370,274.78, 510,976.28 and 200,508.91

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Solution

The fourth proportional to 370,274.78, 510,976.28 and 200,508.91 is: 276,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,274.78 : 510,976.28 = 200,508.91 : x
  2. Step 2: Convert to fraction form
    370,274.78/510,976.28 = 200,508.91/x
  3. Step 3: Cross multiply
    370,274.78x = 510,976.28 × 200,508.91
  4. Step 4: Simplify right side
    370,274.78x = 102,455,296,162.49
  5. Step 5: Solve for x
    x = 102,455,296,162.49/370,274.78
  6. Step 6: Final answer
    x = 276,700.71

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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.