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Finding the Fourth Proportional to 265,841.80, 399,054.30 and 166,114.60

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Solution

The fourth proportional to 265,841.80, 399,054.30 and 166,114.60 is: 249,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,841.80 : 399,054.30 = 166,114.60 : x
  2. Step 2: Convert to fraction form
    265,841.80/399,054.30 = 166,114.60/x
  3. Step 3: Cross multiply
    265,841.80x = 399,054.30 × 166,114.60
  4. Step 4: Simplify right side
    265,841.80x = 66,288,745,422.78
  5. Step 5: Solve for x
    x = 66,288,745,422.78/265,841.80
  6. Step 6: Final answer
    x = 249,354.11

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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.