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Finding the Fourth Proportional to 306,959.80, 423,617.28 and 170,993.71

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Solution

The fourth proportional to 306,959.80, 423,617.28 and 170,993.71 is: 235,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,959.80 : 423,617.28 = 170,993.71 : x
  2. Step 2: Convert to fraction form
    306,959.80/423,617.28 = 170,993.71/x
  3. Step 3: Cross multiply
    306,959.80x = 423,617.28 × 170,993.71
  4. Step 4: Simplify right side
    306,959.80x = 72,435,890,327.31
  5. Step 5: Solve for x
    x = 72,435,890,327.31/306,959.80
  6. Step 6: Final answer
    x = 235,978.43

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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.