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Finding the Fourth Proportional to 310,163.34, 428,187.96 and 208,722.18

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Solution

The fourth proportional to 310,163.34, 428,187.96 and 208,722.18 is: 288,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,163.34 : 428,187.96 = 208,722.18 : x
  2. Step 2: Convert to fraction form
    310,163.34/428,187.96 = 208,722.18/x
  3. Step 3: Cross multiply
    310,163.34x = 428,187.96 × 208,722.18
  4. Step 4: Simplify right side
    310,163.34x = 89,372,324,460.95
  5. Step 5: Solve for x
    x = 89,372,324,460.95/310,163.34
  6. Step 6: Final answer
    x = 288,146.00

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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.