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Finding the Fourth Proportional to 442,679.85, 664,056.27 and 143,208.54

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Solution

The fourth proportional to 442,679.85, 664,056.27 and 143,208.54 is: 214,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,679.85 : 664,056.27 = 143,208.54 : x
  2. Step 2: Convert to fraction form
    442,679.85/664,056.27 = 143,208.54/x
  3. Step 3: Cross multiply
    442,679.85x = 664,056.27 × 143,208.54
  4. Step 4: Simplify right side
    442,679.85x = 95,098,528,904.55
  5. Step 5: Solve for x
    x = 95,098,528,904.55/442,679.85
  6. Step 6: Final answer
    x = 214,824.62

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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.