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Finding the Fourth Proportional to 442,367.62, 610,274.82 and 281,136.31

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Solution

The fourth proportional to 442,367.62, 610,274.82 and 281,136.31 is: 387,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,367.62 : 610,274.82 = 281,136.31 : x
  2. Step 2: Convert to fraction form
    442,367.62/610,274.82 = 281,136.31/x
  3. Step 3: Cross multiply
    442,367.62x = 610,274.82 × 281,136.31
  4. Step 4: Simplify right side
    442,367.62x = 171,570,409,455.03
  5. Step 5: Solve for x
    x = 171,570,409,455.03/442,367.62
  6. Step 6: Final answer
    x = 387,845.77

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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.