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Finding the Fourth Proportional to 422,116.80, 633,175.20 and 394,468.80

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Solution

The fourth proportional to 422,116.80, 633,175.20 and 394,468.80 is: 591,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,116.80 : 633,175.20 = 394,468.80 : x
  2. Step 2: Convert to fraction form
    422,116.80/633,175.20 = 394,468.80/x
  3. Step 3: Cross multiply
    422,116.80x = 633,175.20 × 394,468.80
  4. Step 4: Simplify right side
    422,116.80x = 249,767,861,333.76
  5. Step 5: Solve for x
    x = 249,767,861,333.76/422,116.80
  6. Step 6: Final answer
    x = 591,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.