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Finding the Fourth Proportional to 442,865.56, 664,403.80 and 143,346.20

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Solution

The fourth proportional to 442,865.56, 664,403.80 and 143,346.20 is: 215,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865.56 : 664,403.80 = 143,346.20 : x
  2. Step 2: Convert to fraction form
    442,865.56/664,403.80 = 143,346.20/x
  3. Step 3: Cross multiply
    442,865.56x = 664,403.80 × 143,346.20
  4. Step 4: Simplify right side
    442,865.56x = 95,239,759,995.56
  5. Step 5: Solve for x
    x = 95,239,759,995.56/442,865.56
  6. Step 6: Final answer
    x = 215,053.44

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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.