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Finding the Fourth Proportional to 310,277, 428,182.26 and 168,965

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Solution

The fourth proportional to 310,277, 428,182.26 and 168,965 is: 233,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,277 : 428,182.26 = 168,965 : x
  2. Step 2: Convert to fraction form
    310,277/428,182.26 = 168,965/x
  3. Step 3: Cross multiply
    310,277x = 428,182.26 × 168,965
  4. Step 4: Simplify right side
    310,277x = 72,347,815,560.90
  5. Step 5: Solve for x
    x = 72,347,815,560.90/310,277
  6. Step 6: Final answer
    x = 233,171.70

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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.