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Finding the Fourth Proportional to 779,884, 1,076,241.36 and 422,188

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Solution

The fourth proportional to 779,884, 1,076,241.36 and 422,188 is: 582,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,884 : 1,076,241.36 = 422,188 : x
  2. Step 2: Convert to fraction form
    779,884/1,076,241.36 = 422,188/x
  3. Step 3: Cross multiply
    779,884x = 1,076,241.36 × 422,188
  4. Step 4: Simplify right side
    779,884x = 454,376,187,295.68
  5. Step 5: Solve for x
    x = 454,376,187,295.68/779,884
  6. Step 6: Final answer
    x = 582,620.22

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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.