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Finding the Fourth Proportional to 442,642.80, 663,887.40 and 162,015.60

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Solution

The fourth proportional to 442,642.80, 663,887.40 and 162,015.60 is: 242,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,642.80 : 663,887.40 = 162,015.60 : x
  2. Step 2: Convert to fraction form
    442,642.80/663,887.40 = 162,015.60/x
  3. Step 3: Cross multiply
    442,642.80x = 663,887.40 × 162,015.60
  4. Step 4: Simplify right side
    442,642.80x = 107,560,115,443.44
  5. Step 5: Solve for x
    x = 107,560,115,443.44/442,642.80
  6. Step 6: Final answer
    x = 242,995.29

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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.