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Finding the Fourth Proportional to 442,998.72, 664,352.28 and 243,544.32

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Solution

The fourth proportional to 442,998.72, 664,352.28 and 243,544.32 is: 365,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,998.72 : 664,352.28 = 243,544.32 : x
  2. Step 2: Convert to fraction form
    442,998.72/664,352.28 = 243,544.32/x
  3. Step 3: Cross multiply
    442,998.72x = 664,352.28 × 243,544.32
  4. Step 4: Simplify right side
    442,998.72x = 161,799,224,273.05
  5. Step 5: Solve for x
    x = 161,799,224,273.05/442,998.72
  6. Step 6: Final answer
    x = 365,236.32

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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.