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Finding the Fourth Proportional to 442,856.45, 664,448.70 and 143,346.80

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Solution

The fourth proportional to 442,856.45, 664,448.70 and 143,346.80 is: 215,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,856.45 : 664,448.70 = 143,346.80 : x
  2. Step 2: Convert to fraction form
    442,856.45/664,448.70 = 143,346.80/x
  3. Step 3: Cross multiply
    442,856.45x = 664,448.70 × 143,346.80
  4. Step 4: Simplify right side
    442,856.45x = 95,246,594,909.16
  5. Step 5: Solve for x
    x = 95,246,594,909.16/442,856.45
  6. Step 6: Final answer
    x = 215,073.29

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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.