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Finding the Fourth Proportional to 319,778.73, 479,507.64 and 106,471.51

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Solution

The fourth proportional to 319,778.73, 479,507.64 and 106,471.51 is: 159,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,778.73 : 479,507.64 = 106,471.51 : x
  2. Step 2: Convert to fraction form
    319,778.73/479,507.64 = 106,471.51/x
  3. Step 3: Cross multiply
    319,778.73x = 479,507.64 × 106,471.51
  4. Step 4: Simplify right side
    319,778.73x = 51,053,901,288.57
  5. Step 5: Solve for x
    x = 51,053,901,288.57/319,778.73
  6. Step 6: Final answer
    x = 159,653.84

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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.