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Finding the Fourth Proportional to 321,699.34, 482,795.35 and 231,698.82

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Solution

The fourth proportional to 321,699.34, 482,795.35 and 231,698.82 is: 347,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,699.34 : 482,795.35 = 231,698.82 : x
  2. Step 2: Convert to fraction form
    321,699.34/482,795.35 = 231,698.82/x
  3. Step 3: Cross multiply
    321,699.34x = 482,795.35 × 231,698.82
  4. Step 4: Simplify right side
    321,699.34x = 111,863,112,317.24
  5. Step 5: Solve for x
    x = 111,863,112,317.24/321,699.34
  6. Step 6: Final answer
    x = 347,725.65

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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.