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Finding the Fourth Proportional to 370,265.78, 510,969.21 and 200,499.92

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Solution

The fourth proportional to 370,265.78, 510,969.21 and 200,499.92 is: 276,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,265.78 : 510,969.21 = 200,499.92 : x
  2. Step 2: Convert to fraction form
    370,265.78/510,969.21 = 200,499.92/x
  3. Step 3: Cross multiply
    370,265.78x = 510,969.21 × 200,499.92
  4. Step 4: Simplify right side
    370,265.78x = 102,449,285,727.46
  5. Step 5: Solve for x
    x = 102,449,285,727.46/370,265.78
  6. Step 6: Final answer
    x = 276,691.21

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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.