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Finding the Fourth Proportional to 309,433.16, 427,108.51 and 202,019.27

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Solution

The fourth proportional to 309,433.16, 427,108.51 and 202,019.27 is: 278,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,433.16 : 427,108.51 = 202,019.27 : x
  2. Step 2: Convert to fraction form
    309,433.16/427,108.51 = 202,019.27/x
  3. Step 3: Cross multiply
    309,433.16x = 427,108.51 × 202,019.27
  4. Step 4: Simplify right side
    309,433.16x = 86,284,147,517.97
  5. Step 5: Solve for x
    x = 86,284,147,517.97/309,433.16
  6. Step 6: Final answer
    x = 278,845.83

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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.