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Finding the Fourth Proportional to 319,755.92, 479,521.28 and 106,465.91

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Solution

The fourth proportional to 319,755.92, 479,521.28 and 106,465.91 is: 159,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,755.92 : 479,521.28 = 106,465.91 : x
  2. Step 2: Convert to fraction form
    319,755.92/479,521.28 = 106,465.91/x
  3. Step 3: Cross multiply
    319,755.92x = 479,521.28 × 106,465.91
  4. Step 4: Simplify right side
    319,755.92x = 51,052,667,308.12
  5. Step 5: Solve for x
    x = 51,052,667,308.12/319,755.92
  6. Step 6: Final answer
    x = 159,661.37

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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.