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Finding the Fourth Proportional to 319,842.44, 479,765.89 and 219,699.11

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Solution

The fourth proportional to 319,842.44, 479,765.89 and 219,699.11 is: 329,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,842.44 : 479,765.89 = 219,699.11 : x
  2. Step 2: Convert to fraction form
    319,842.44/479,765.89 = 219,699.11/x
  3. Step 3: Cross multiply
    319,842.44x = 479,765.89 × 219,699.11
  4. Step 4: Simplify right side
    319,842.44x = 105,404,136,642.53
  5. Step 5: Solve for x
    x = 105,404,136,642.53/319,842.44
  6. Step 6: Final answer
    x = 329,550.19

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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.