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Finding the Fourth Proportional to 442,420, 663,632.43 and 109,996

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Solution

The fourth proportional to 442,420, 663,632.43 and 109,996 is: 164,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,420 : 663,632.43 = 109,996 : x
  2. Step 2: Convert to fraction form
    442,420/663,632.43 = 109,996/x
  3. Step 3: Cross multiply
    442,420x = 663,632.43 × 109,996
  4. Step 4: Simplify right side
    442,420x = 72,996,912,770.28
  5. Step 5: Solve for x
    x = 72,996,912,770.28/442,420
  6. Step 6: Final answer
    x = 164,994.60

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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.