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Finding the Fourth Proportional to 361,490.68, 498,857.20 and 200,356.14

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Solution

The fourth proportional to 361,490.68, 498,857.20 and 200,356.14 is: 276,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,490.68 : 498,857.20 = 200,356.14 : x
  2. Step 2: Convert to fraction form
    361,490.68/498,857.20 = 200,356.14/x
  3. Step 3: Cross multiply
    361,490.68x = 498,857.20 × 200,356.14
  4. Step 4: Simplify right side
    361,490.68x = 99,949,103,003.21
  5. Step 5: Solve for x
    x = 99,949,103,003.21/361,490.68
  6. Step 6: Final answer
    x = 276,491.51

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1.5x scale

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.