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Finding the Fourth Proportional to 322,945.60, 484,706.40 and 189,659.20

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Solution

The fourth proportional to 322,945.60, 484,706.40 and 189,659.20 is: 284,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,945.60 : 484,706.40 = 189,659.20 : x
  2. Step 2: Convert to fraction form
    322,945.60/484,706.40 = 189,659.20/x
  3. Step 3: Cross multiply
    322,945.60x = 484,706.40 × 189,659.20
  4. Step 4: Simplify right side
    322,945.60x = 91,929,028,058.88
  5. Step 5: Solve for x
    x = 91,929,028,058.88/322,945.60
  6. Step 6: Final answer
    x = 284,657.94

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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.