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Finding the Fourth Proportional to 411,642.42, 617,456.91 and 131,155.86

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Solution

The fourth proportional to 411,642.42, 617,456.91 and 131,155.86 is: 196,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,642.42 : 617,456.91 = 131,155.86 : x
  2. Step 2: Convert to fraction form
    411,642.42/617,456.91 = 131,155.86/x
  3. Step 3: Cross multiply
    411,642.42x = 617,456.91 × 131,155.86
  4. Step 4: Simplify right side
    411,642.42x = 80,983,092,043.99
  5. Step 5: Solve for x
    x = 80,983,092,043.99/411,642.42
  6. Step 6: Final answer
    x = 196,731.65

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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.