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Finding the Fourth Proportional to 442,857.88, 664,392.27 and 143,338.51

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Solution

The fourth proportional to 442,857.88, 664,392.27 and 143,338.51 is: 215,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857.88 : 664,392.27 = 143,338.51 : x
  2. Step 2: Convert to fraction form
    442,857.88/664,392.27 = 143,338.51/x
  3. Step 3: Cross multiply
    442,857.88x = 664,392.27 × 143,338.51
  4. Step 4: Simplify right side
    442,857.88x = 95,232,999,405.33
  5. Step 5: Solve for x
    x = 95,232,999,405.33/442,857.88
  6. Step 6: Final answer
    x = 215,041.90

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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.