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Finding the Fourth Proportional to 442,859.45, 664,453.20 and 143,349.80

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Solution

The fourth proportional to 442,859.45, 664,453.20 and 143,349.80 is: 215,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,859.45 : 664,453.20 = 143,349.80 : x
  2. Step 2: Convert to fraction form
    442,859.45/664,453.20 = 143,349.80/x
  3. Step 3: Cross multiply
    442,859.45x = 664,453.20 × 143,349.80
  4. Step 4: Simplify right side
    442,859.45x = 95,249,233,329.36
  5. Step 5: Solve for x
    x = 95,249,233,329.36/442,859.45
  6. Step 6: Final answer
    x = 215,077.79

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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.