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Finding the Fourth Proportional to 370,138.29, 510,792.47 and 200,372.42

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Solution

The fourth proportional to 370,138.29, 510,792.47 and 200,372.42 is: 276,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,138.29 : 510,792.47 = 200,372.42 : x
  2. Step 2: Convert to fraction form
    370,138.29/510,792.47 = 200,372.42/x
  3. Step 3: Cross multiply
    370,138.29x = 510,792.47 × 200,372.42
  4. Step 4: Simplify right side
    370,138.29x = 102,348,719,775.85
  5. Step 5: Solve for x
    x = 102,348,719,775.85/370,138.29
  6. Step 6: Final answer
    x = 276,514.81

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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.