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Finding the Fourth Proportional to 361,361.70, 498,658.32 and 200,207.15

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Solution

The fourth proportional to 361,361.70, 498,658.32 and 200,207.15 is: 276,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,361.70 : 498,658.32 = 200,207.15 : x
  2. Step 2: Convert to fraction form
    361,361.70/498,658.32 = 200,207.15/x
  3. Step 3: Cross multiply
    361,361.70x = 498,658.32 × 200,207.15
  4. Step 4: Simplify right side
    361,361.70x = 99,834,958,577.70
  5. Step 5: Solve for x
    x = 99,834,958,577.70/361,361.70
  6. Step 6: Final answer
    x = 276,274.32

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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.