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Finding the Fourth Proportional to 265,856.80, 399,076.80 and 166,129.60

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Solution

The fourth proportional to 265,856.80, 399,076.80 and 166,129.60 is: 249,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,856.80 : 399,076.80 = 166,129.60 : x
  2. Step 2: Convert to fraction form
    265,856.80/399,076.80 = 166,129.60/x
  3. Step 3: Cross multiply
    265,856.80x = 399,076.80 × 166,129.60
  4. Step 4: Simplify right side
    265,856.80x = 66,298,469,153.28
  5. Step 5: Solve for x
    x = 66,298,469,153.28/265,856.80
  6. Step 6: Final answer
    x = 249,376.62

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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.