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Finding the Fourth Proportional to 411,655.92, 617,477.16 and 131,169.36

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Solution

The fourth proportional to 411,655.92, 617,477.16 and 131,169.36 is: 196,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,655.92 : 617,477.16 = 131,169.36 : x
  2. Step 2: Convert to fraction form
    411,655.92/617,477.16 = 131,169.36/x
  3. Step 3: Cross multiply
    411,655.92x = 617,477.16 × 131,169.36
  4. Step 4: Simplify right side
    411,655.92x = 80,994,083,891.82
  5. Step 5: Solve for x
    x = 80,994,083,891.82/411,655.92
  6. Step 6: Final answer
    x = 196,751.90

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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.