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Finding the Fourth Proportional to 442,859.14, 664,394.16 and 143,339.77

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Solution

The fourth proportional to 442,859.14, 664,394.16 and 143,339.77 is: 215,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,859.14 : 664,394.16 = 143,339.77 : x
  2. Step 2: Convert to fraction form
    442,859.14/664,394.16 = 143,339.77/x
  3. Step 3: Cross multiply
    442,859.14x = 664,394.16 × 143,339.77
  4. Step 4: Simplify right side
    442,859.14x = 95,234,102,045.07
  5. Step 5: Solve for x
    x = 95,234,102,045.07/442,859.14
  6. Step 6: Final answer
    x = 215,043.78

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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.