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Finding the Fourth Proportional to 455,086.32, 682,603.92 and 139,542.30

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Solution

The fourth proportional to 455,086.32, 682,603.92 and 139,542.30 is: 209,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,086.32 : 682,603.92 = 139,542.30 : x
  2. Step 2: Convert to fraction form
    455,086.32/682,603.92 = 139,542.30/x
  3. Step 3: Cross multiply
    455,086.32x = 682,603.92 × 139,542.30
  4. Step 4: Simplify right side
    455,086.32x = 95,252,120,985.82
  5. Step 5: Solve for x
    x = 95,252,120,985.82/455,086.32
  6. Step 6: Final answer
    x = 209,305.61

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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.