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Finding the Fourth Proportional to 361,274.29, 498,551.99 and 200,128.84

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Solution

The fourth proportional to 361,274.29, 498,551.99 and 200,128.84 is: 276,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,274.29 : 498,551.99 = 200,128.84 : x
  2. Step 2: Convert to fraction form
    361,274.29/498,551.99 = 200,128.84/x
  3. Step 3: Cross multiply
    361,274.29x = 498,551.99 × 200,128.84
  4. Step 4: Simplify right side
    361,274.29x = 99,774,631,438.39
  5. Step 5: Solve for x
    x = 99,774,631,438.39/361,274.29
  6. Step 6: Final answer
    x = 276,174.18

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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.