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Finding the Fourth Proportional to 310,163.59, 428,188.31 and 208,722.43

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Solution

The fourth proportional to 310,163.59, 428,188.31 and 208,722.43 is: 288,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,163.59 : 428,188.31 = 208,722.43 : x
  2. Step 2: Convert to fraction form
    310,163.59/428,188.31 = 208,722.43/x
  3. Step 3: Cross multiply
    310,163.59x = 428,188.31 × 208,722.43
  4. Step 4: Simplify right side
    310,163.59x = 89,372,504,560.79
  5. Step 5: Solve for x
    x = 89,372,504,560.79/310,163.59
  6. Step 6: Final answer
    x = 288,146.34

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1.5x scale

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.