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Finding the Fourth Proportional to 265,978.80, 398,968.20 and 166,251.60

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Solution

The fourth proportional to 265,978.80, 398,968.20 and 166,251.60 is: 249,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978.80 : 398,968.20 = 166,251.60 : x
  2. Step 2: Convert to fraction form
    265,978.80/398,968.20 = 166,251.60/x
  3. Step 3: Cross multiply
    265,978.80x = 398,968.20 × 166,251.60
  4. Step 4: Simplify right side
    265,978.80x = 66,329,101,599.12
  5. Step 5: Solve for x
    x = 66,329,101,599.12/265,978.80
  6. Step 6: Final answer
    x = 249,377.40

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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.