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Finding the Fourth Proportional to 255,705.75, 383,669.24 and 137,238.69

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Solution

The fourth proportional to 255,705.75, 383,669.24 and 137,238.69 is: 205,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,705.75 : 383,669.24 = 137,238.69 : x
  2. Step 2: Convert to fraction form
    255,705.75/383,669.24 = 137,238.69/x
  3. Step 3: Cross multiply
    255,705.75x = 383,669.24 × 137,238.69
  4. Step 4: Simplify right side
    255,705.75x = 52,654,263,890.90
  5. Step 5: Solve for x
    x = 52,654,263,890.90/255,705.75
  6. Step 6: Final answer
    x = 205,917.40

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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.