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Finding the Fourth Proportional to 442,414, 663,623.43 and 109,990

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Solution

The fourth proportional to 442,414, 663,623.43 and 109,990 is: 164,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,414 : 663,623.43 = 109,990 : x
  2. Step 2: Convert to fraction form
    442,414/663,623.43 = 109,990/x
  3. Step 3: Cross multiply
    442,414x = 663,623.43 × 109,990
  4. Step 4: Simplify right side
    442,414x = 72,991,941,065.70
  5. Step 5: Solve for x
    x = 72,991,941,065.70/442,414
  6. Step 6: Final answer
    x = 164,985.60

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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.