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Finding the Fourth Proportional to 319,898.12, 479,797.97 and 106,669.73

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Solution

The fourth proportional to 319,898.12, 479,797.97 and 106,669.73 is: 159,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,898.12 : 479,797.97 = 106,669.73 : x
  2. Step 2: Convert to fraction form
    319,898.12/479,797.97 = 106,669.73/x
  3. Step 3: Cross multiply
    319,898.12x = 479,797.97 × 106,669.73
  4. Step 4: Simplify right side
    319,898.12x = 51,179,920,580.59
  5. Step 5: Solve for x
    x = 51,179,920,580.59/319,898.12
  6. Step 6: Final answer
    x = 159,988.19

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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.