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Finding the Fourth Proportional to 779,809, 1,076,139.84 and 422,113

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Solution

The fourth proportional to 779,809, 1,076,139.84 and 422,113 is: 582,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,809 : 1,076,139.84 = 422,113 : x
  2. Step 2: Convert to fraction form
    779,809/1,076,139.84 = 422,113/x
  3. Step 3: Cross multiply
    779,809x = 1,076,139.84 × 422,113
  4. Step 4: Simplify right side
    779,809x = 454,252,616,281.92
  5. Step 5: Solve for x
    x = 454,252,616,281.92/779,809
  6. Step 6: Final answer
    x = 582,517.79

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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.