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Finding the Fourth Proportional to 665,299.85, 996,801.60 and 309,584.30

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Solution

The fourth proportional to 665,299.85, 996,801.60 and 309,584.30 is: 463,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,299.85 : 996,801.60 = 309,584.30 : x
  2. Step 2: Convert to fraction form
    665,299.85/996,801.60 = 309,584.30/x
  3. Step 3: Cross multiply
    665,299.85x = 996,801.60 × 309,584.30
  4. Step 4: Simplify right side
    665,299.85x = 308,594,125,574.88
  5. Step 5: Solve for x
    x = 308,594,125,574.88/665,299.85
  6. Step 6: Final answer
    x = 463,842.17

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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.