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Finding the Fourth Proportional to 442,420.80, 663,633.60 and 109,996.80

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Solution

The fourth proportional to 442,420.80, 663,633.60 and 109,996.80 is: 164,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,420.80 : 663,633.60 = 109,996.80 : x
  2. Step 2: Convert to fraction form
    442,420.80/663,633.60 = 109,996.80/x
  3. Step 3: Cross multiply
    442,420.80x = 663,633.60 × 109,996.80
  4. Step 4: Simplify right side
    442,420.80x = 72,997,572,372.48
  5. Step 5: Solve for x
    x = 72,997,572,372.48/442,420.80
  6. Step 6: Final answer
    x = 164,995.80

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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.