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Finding the Fourth Proportional to 255,998.88, 384,169.60 and 106,239.18

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Solution

The fourth proportional to 255,998.88, 384,169.60 and 106,239.18 is: 159,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,998.88 : 384,169.60 = 106,239.18 : x
  2. Step 2: Convert to fraction form
    255,998.88/384,169.60 = 106,239.18/x
  3. Step 3: Cross multiply
    255,998.88x = 384,169.60 × 106,239.18
  4. Step 4: Simplify right side
    255,998.88x = 40,813,863,284.93
  5. Step 5: Solve for x
    x = 40,813,863,284.93/255,998.88
  6. Step 6: Final answer
    x = 159,429.85

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1.5x scale

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.