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Finding the Fourth Proportional to 442,964.70, 611,361.27 and 281,651.58

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Solution

The fourth proportional to 442,964.70, 611,361.27 and 281,651.58 is: 388,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,964.70 : 611,361.27 = 281,651.58 : x
  2. Step 2: Convert to fraction form
    442,964.70/611,361.27 = 281,651.58/x
  3. Step 3: Cross multiply
    442,964.70x = 611,361.27 × 281,651.58
  4. Step 4: Simplify right side
    442,964.70x = 172,190,867,646.31
  5. Step 5: Solve for x
    x = 172,190,867,646.31/442,964.70
  6. Step 6: Final answer
    x = 388,723.68

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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.