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Finding the Fourth Proportional to 779,832, 1,076,171.04 and 422,136

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Solution

The fourth proportional to 779,832, 1,076,171.04 and 422,136 is: 582,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,832 : 1,076,171.04 = 422,136 : x
  2. Step 2: Convert to fraction form
    779,832/1,076,171.04 = 422,136/x
  3. Step 3: Cross multiply
    779,832x = 1,076,171.04 × 422,136
  4. Step 4: Simplify right side
    779,832x = 454,290,538,141.44
  5. Step 5: Solve for x
    x = 454,290,538,141.44/779,832
  6. Step 6: Final answer
    x = 582,549.24

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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.