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Finding the Fourth Proportional to 291,712.31, 436,984.81 and 231,841.82

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Solution

The fourth proportional to 291,712.31, 436,984.81 and 231,841.82 is: 347,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,712.31 : 436,984.81 = 231,841.82 : x
  2. Step 2: Convert to fraction form
    291,712.31/436,984.81 = 231,841.82/x
  3. Step 3: Cross multiply
    291,712.31x = 436,984.81 × 231,841.82
  4. Step 4: Simplify right side
    291,712.31x = 101,311,353,924.68
  5. Step 5: Solve for x
    x = 101,311,353,924.68/291,712.31
  6. Step 6: Final answer
    x = 347,298.86

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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.