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Finding the Fourth Proportional to 353,355.64, 487,548.33 and 206,157.55

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Solution

The fourth proportional to 353,355.64, 487,548.33 and 206,157.55 is: 284,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,355.64 : 487,548.33 = 206,157.55 : x
  2. Step 2: Convert to fraction form
    353,355.64/487,548.33 = 206,157.55/x
  3. Step 3: Cross multiply
    353,355.64x = 487,548.33 × 206,157.55
  4. Step 4: Simplify right side
    353,355.64x = 100,511,769,219.39
  5. Step 5: Solve for x
    x = 100,511,769,219.39/353,355.64
  6. Step 6: Final answer
    x = 284,449.31

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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.