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Finding the Fourth Proportional to 414,996.44, 572,388.39 and 285,978.02

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Solution

The fourth proportional to 414,996.44, 572,388.39 and 285,978.02 is: 394,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,996.44 : 572,388.39 = 285,978.02 : x
  2. Step 2: Convert to fraction form
    414,996.44/572,388.39 = 285,978.02/x
  3. Step 3: Cross multiply
    414,996.44x = 572,388.39 × 285,978.02
  4. Step 4: Simplify right side
    414,996.44x = 163,690,495,581.25
  5. Step 5: Solve for x
    x = 163,690,495,581.25/414,996.44
  6. Step 6: Final answer
    x = 394,438.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.