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Finding the Fourth Proportional to 255,886.12, 384,161.79 and 196,763.31

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Solution

The fourth proportional to 255,886.12, 384,161.79 and 196,763.31 is: 295,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,886.12 : 384,161.79 = 196,763.31 : x
  2. Step 2: Convert to fraction form
    255,886.12/384,161.79 = 196,763.31/x
  3. Step 3: Cross multiply
    255,886.12x = 384,161.79 × 196,763.31
  4. Step 4: Simplify right side
    255,886.12x = 75,588,945,006.99
  5. Step 5: Solve for x
    x = 75,588,945,006.99/255,886.12
  6. Step 6: Final answer
    x = 295,400.72

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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.