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Finding the Fourth Proportional to 255,961.60, 384,115.20 and 166,998.40

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Solution

The fourth proportional to 255,961.60, 384,115.20 and 166,998.40 is: 250,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,961.60 : 384,115.20 = 166,998.40 : x
  2. Step 2: Convert to fraction form
    255,961.60/384,115.20 = 166,998.40/x
  3. Step 3: Cross multiply
    255,961.60x = 384,115.20 × 166,998.40
  4. Step 4: Simplify right side
    255,961.60x = 64,146,623,815.68
  5. Step 5: Solve for x
    x = 64,146,623,815.68/255,961.60
  6. Step 6: Final answer
    x = 250,610.34

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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.