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Finding the Fourth Proportional to 265,791.30, 398,978.55 and 166,064.10

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Solution

The fourth proportional to 265,791.30, 398,978.55 and 166,064.10 is: 249,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,791.30 : 398,978.55 = 166,064.10 : x
  2. Step 2: Convert to fraction form
    265,791.30/398,978.55 = 166,064.10/x
  3. Step 3: Cross multiply
    265,791.30x = 398,978.55 × 166,064.10
  4. Step 4: Simplify right side
    265,791.30x = 66,256,013,825.06
  5. Step 5: Solve for x
    x = 66,256,013,825.06/265,791.30
  6. Step 6: Final answer
    x = 249,278.34

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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.