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Finding the Fourth Proportional to 265,924.80, 399,178.80 and 166,197.60

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Solution

The fourth proportional to 265,924.80, 399,178.80 and 166,197.60 is: 249,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,924.80 : 399,178.80 = 166,197.60 : x
  2. Step 2: Convert to fraction form
    265,924.80/399,178.80 = 166,197.60/x
  3. Step 3: Cross multiply
    265,924.80x = 399,178.80 × 166,197.60
  4. Step 4: Simplify right side
    265,924.80x = 66,342,558,530.88
  5. Step 5: Solve for x
    x = 66,342,558,530.88/265,924.80
  6. Step 6: Final answer
    x = 249,478.64

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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.