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Finding the Fourth Proportional to 779,886, 1,076,244.12 and 422,190

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Solution

The fourth proportional to 779,886, 1,076,244.12 and 422,190 is: 582,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,886 : 1,076,244.12 = 422,190 : x
  2. Step 2: Convert to fraction form
    779,886/1,076,244.12 = 422,190/x
  3. Step 3: Cross multiply
    779,886x = 1,076,244.12 × 422,190
  4. Step 4: Simplify right side
    779,886x = 454,379,505,022.80
  5. Step 5: Solve for x
    x = 454,379,505,022.80/779,886
  6. Step 6: Final answer
    x = 582,622.98

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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.