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Finding the Fourth Proportional to 455,103.36, 682,596.72 and 139,533.84

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Solution

The fourth proportional to 455,103.36, 682,596.72 and 139,533.84 is: 209,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,103.36 : 682,596.72 = 139,533.84 : x
  2. Step 2: Convert to fraction form
    455,103.36/682,596.72 = 139,533.84/x
  3. Step 3: Cross multiply
    455,103.36x = 682,596.72 × 139,533.84
  4. Step 4: Simplify right side
    455,103.36x = 95,245,341,513.00
  5. Step 5: Solve for x
    x = 95,245,341,513.00/455,103.36
  6. Step 6: Final answer
    x = 209,282.88

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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.