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Finding the Fourth Proportional to 411,679.60, 617,564.76 and 131,132.32

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Solution

The fourth proportional to 411,679.60, 617,564.76 and 131,132.32 is: 196,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,679.60 : 617,564.76 = 131,132.32 : x
  2. Step 2: Convert to fraction form
    411,679.60/617,564.76 = 131,132.32/x
  3. Step 3: Cross multiply
    411,679.60x = 617,564.76 × 131,132.32
  4. Step 4: Simplify right side
    411,679.60x = 80,982,699,729.04
  5. Step 5: Solve for x
    x = 80,982,699,729.04/411,679.60
  6. Step 6: Final answer
    x = 196,712.93

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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.