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Finding the Fourth Proportional to 665,298.72, 996,765.84 and 380,977.92

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Solution

The fourth proportional to 665,298.72, 996,765.84 and 380,977.92 is: 570,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,298.72 : 996,765.84 = 380,977.92 : x
  2. Step 2: Convert to fraction form
    665,298.72/996,765.84 = 380,977.92/x
  3. Step 3: Cross multiply
    665,298.72x = 996,765.84 × 380,977.92
  4. Step 4: Simplify right side
    665,298.72x = 379,745,776,450.25
  5. Step 5: Solve for x
    x = 379,745,776,450.25/665,298.72
  6. Step 6: Final answer
    x = 570,789.88

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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.