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Finding the Fourth Proportional to 442,421, 663,634.02 and 109,997

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Solution

The fourth proportional to 442,421, 663,634.02 and 109,997 is: 164,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,421 : 663,634.02 = 109,997 : x
  2. Step 2: Convert to fraction form
    442,421/663,634.02 = 109,997/x
  3. Step 3: Cross multiply
    442,421x = 663,634.02 × 109,997
  4. Step 4: Simplify right side
    442,421x = 72,997,751,297.94
  5. Step 5: Solve for x
    x = 72,997,751,297.94/442,421
  6. Step 6: Final answer
    x = 164,996.13

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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.