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Finding the Fourth Proportional to 442,422, 663,635.52 and 109,998

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Solution

The fourth proportional to 442,422, 663,635.52 and 109,998 is: 164,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,422 : 663,635.52 = 109,998 : x
  2. Step 2: Convert to fraction form
    442,422/663,635.52 = 109,998/x
  3. Step 3: Cross multiply
    442,422x = 663,635.52 × 109,998
  4. Step 4: Simplify right side
    442,422x = 72,998,579,928.96
  5. Step 5: Solve for x
    x = 72,998,579,928.96/442,422
  6. Step 6: Final answer
    x = 164,997.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.