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Finding the Fourth Proportional to 309,422.75, 427,003.40 and 175,286.75

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Solution

The fourth proportional to 309,422.75, 427,003.40 and 175,286.75 is: 241,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,422.75 : 427,003.40 = 175,286.75 : x
  2. Step 2: Convert to fraction form
    309,422.75/427,003.40 = 175,286.75/x
  3. Step 3: Cross multiply
    309,422.75x = 427,003.40 × 175,286.75
  4. Step 4: Simplify right side
    309,422.75x = 74,848,037,348.52
  5. Step 5: Solve for x
    x = 74,848,037,348.52/309,422.75
  6. Step 6: Final answer
    x = 241,895.72

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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.