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Finding the Fourth Proportional to 442,855.86, 664,321.11 and 139,319.70

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Solution

The fourth proportional to 442,855.86, 664,321.11 and 139,319.70 is: 208,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855.86 : 664,321.11 = 139,319.70 : x
  2. Step 2: Convert to fraction form
    442,855.86/664,321.11 = 139,319.70/x
  3. Step 3: Cross multiply
    442,855.86x = 664,321.11 × 139,319.70
  4. Step 4: Simplify right side
    442,855.86x = 92,553,017,748.87
  5. Step 5: Solve for x
    x = 92,553,017,748.87/442,855.86
  6. Step 6: Final answer
    x = 208,991.29

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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.