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Finding the Fourth Proportional to 310,735.47, 428,847.84 and 189,947.46

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Solution

The fourth proportional to 310,735.47, 428,847.84 and 189,947.46 is: 262,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,735.47 : 428,847.84 = 189,947.46 : x
  2. Step 2: Convert to fraction form
    310,735.47/428,847.84 = 189,947.46/x
  3. Step 3: Cross multiply
    310,735.47x = 428,847.84 × 189,947.46
  4. Step 4: Simplify right side
    310,735.47x = 81,458,557,934.49
  5. Step 5: Solve for x
    x = 81,458,557,934.49/310,735.47
  6. Step 6: Final answer
    x = 262,147.60

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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.