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Finding the Fourth Proportional to 763,728, 1,145,304 and 613,599.36

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Solution

The fourth proportional to 763,728, 1,145,304 and 613,599.36 is: 920,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,728 : 1,145,304 = 613,599.36 : x
  2. Step 2: Convert to fraction form
    763,728/1,145,304 = 613,599.36/x
  3. Step 3: Cross multiply
    763,728x = 1,145,304 × 613,599.36
  4. Step 4: Simplify right side
    763,728x = 702,757,801,405.44
  5. Step 5: Solve for x
    x = 702,757,801,405.44/763,728
  6. Step 6: Final answer
    x = 920,167.65

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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.