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Finding the Fourth Proportional to 411,645.42, 617,461.41 and 131,158.86

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Solution

The fourth proportional to 411,645.42, 617,461.41 and 131,158.86 is: 196,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,645.42 : 617,461.41 = 131,158.86 : x
  2. Step 2: Convert to fraction form
    411,645.42/617,461.41 = 131,158.86/x
  3. Step 3: Cross multiply
    411,645.42x = 617,461.41 × 131,158.86
  4. Step 4: Simplify right side
    411,645.42x = 80,985,534,629.59
  5. Step 5: Solve for x
    x = 80,985,534,629.59/411,645.42
  6. Step 6: Final answer
    x = 196,736.15

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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.