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Finding the Fourth Proportional to 265,843.80, 399,057.30 and 166,116.60

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Solution

The fourth proportional to 265,843.80, 399,057.30 and 166,116.60 is: 249,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,843.80 : 399,057.30 = 166,116.60 : x
  2. Step 2: Convert to fraction form
    265,843.80/399,057.30 = 166,116.60/x
  3. Step 3: Cross multiply
    265,843.80x = 399,057.30 × 166,116.60
  4. Step 4: Simplify right side
    265,843.80x = 66,290,041,881.18
  5. Step 5: Solve for x
    x = 66,290,041,881.18/265,843.80
  6. Step 6: Final answer
    x = 249,357.11

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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.