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Finding the Fourth Proportional to 664,901.76, 996,797.52 and 309,732.96

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Solution

The fourth proportional to 664,901.76, 996,797.52 and 309,732.96 is: 464,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,901.76 : 996,797.52 = 309,732.96 : x
  2. Step 2: Convert to fraction form
    664,901.76/996,797.52 = 309,732.96/x
  3. Step 3: Cross multiply
    664,901.76x = 996,797.52 × 309,732.96
  4. Step 4: Simplify right side
    664,901.76x = 308,741,046,390.26
  5. Step 5: Solve for x
    x = 308,741,046,390.26/664,901.76
  6. Step 6: Final answer
    x = 464,340.85

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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.