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Finding the Fourth Proportional to 629,771.40, 944,310.42 and 430,317

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Solution

The fourth proportional to 629,771.40, 944,310.42 and 430,317 is: 645,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,771.40 : 944,310.42 = 430,317 : x
  2. Step 2: Convert to fraction form
    629,771.40/944,310.42 = 430,317/x
  3. Step 3: Cross multiply
    629,771.40x = 944,310.42 × 430,317
  4. Step 4: Simplify right side
    629,771.40x = 406,352,827,003.14
  5. Step 5: Solve for x
    x = 406,352,827,003.14/629,771.40
  6. Step 6: Final answer
    x = 645,238.62

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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.