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Finding the Fourth Proportional to 380,464.49, 569,790.86 and 220,202.96

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Solution

The fourth proportional to 380,464.49, 569,790.86 and 220,202.96 is: 329,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,464.49 : 569,790.86 = 220,202.96 : x
  2. Step 2: Convert to fraction form
    380,464.49/569,790.86 = 220,202.96/x
  3. Step 3: Cross multiply
    380,464.49x = 569,790.86 × 220,202.96
  4. Step 4: Simplify right side
    380,464.49x = 125,469,630,002.98
  5. Step 5: Solve for x
    x = 125,469,630,002.98/380,464.49
  6. Step 6: Final answer
    x = 329,780.13

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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.