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Finding the Fourth Proportional to 609,468, 840,786.72 and 394,677.24

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Solution

The fourth proportional to 609,468, 840,786.72 and 394,677.24 is: 544,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,468 : 840,786.72 = 394,677.24 : x
  2. Step 2: Convert to fraction form
    609,468/840,786.72 = 394,677.24/x
  3. Step 3: Cross multiply
    609,468x = 840,786.72 × 394,677.24
  4. Step 4: Simplify right side
    609,468x = 331,839,382,078.25
  5. Step 5: Solve for x
    x = 331,839,382,078.25/609,468
  6. Step 6: Final answer
    x = 544,473.84

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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.