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Finding the Fourth Proportional to 291,186.48, 436,782.14 and 80,840.82

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Solution

The fourth proportional to 291,186.48, 436,782.14 and 80,840.82 is: 121,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,186.48 : 436,782.14 = 80,840.82 : x
  2. Step 2: Convert to fraction form
    291,186.48/436,782.14 = 80,840.82/x
  3. Step 3: Cross multiply
    291,186.48x = 436,782.14 × 80,840.82
  4. Step 4: Simplify right side
    291,186.48x = 35,309,826,358.95
  5. Step 5: Solve for x
    x = 35,309,826,358.95/291,186.48
  6. Step 6: Final answer
    x = 121,261.90

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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.