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Finding the Fourth Proportional to 275,963.26, 380,829.64 and 156,731.26

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Solution

The fourth proportional to 275,963.26, 380,829.64 and 156,731.26 is: 216,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,963.26 : 380,829.64 = 156,731.26 : x
  2. Step 2: Convert to fraction form
    275,963.26/380,829.64 = 156,731.26/x
  3. Step 3: Cross multiply
    275,963.26x = 380,829.64 × 156,731.26
  4. Step 4: Simplify right side
    275,963.26x = 59,687,909,322.55
  5. Step 5: Solve for x
    x = 59,687,909,322.55/275,963.26
  6. Step 6: Final answer
    x = 216,289.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.