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Finding the Fourth Proportional to 779,914, 1,076,281.32 and 422,218

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Solution

The fourth proportional to 779,914, 1,076,281.32 and 422,218 is: 582,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,914 : 1,076,281.32 = 422,218 : x
  2. Step 2: Convert to fraction form
    779,914/1,076,281.32 = 422,218/x
  3. Step 3: Cross multiply
    779,914x = 1,076,281.32 × 422,218
  4. Step 4: Simplify right side
    779,914x = 454,425,346,367.76
  5. Step 5: Solve for x
    x = 454,425,346,367.76/779,914
  6. Step 6: Final answer
    x = 582,660.84

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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.