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Finding the Fourth Proportional to 455,105.61, 682,600.10 and 139,536.09

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Solution

The fourth proportional to 455,105.61, 682,600.10 and 139,536.09 is: 209,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,105.61 : 682,600.10 = 139,536.09 : x
  2. Step 2: Convert to fraction form
    455,105.61/682,600.10 = 139,536.09/x
  3. Step 3: Cross multiply
    455,105.61x = 682,600.10 × 139,536.09
  4. Step 4: Simplify right side
    455,105.61x = 95,247,348,289.93
  5. Step 5: Solve for x
    x = 95,247,348,289.93/455,105.61
  6. Step 6: Final answer
    x = 209,286.25

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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.