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Finding the Fourth Proportional to 362,402.12, 500,138.10 and 201,257.16

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Solution

The fourth proportional to 362,402.12, 500,138.10 and 201,257.16 is: 277,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,402.12 : 500,138.10 = 201,257.16 : x
  2. Step 2: Convert to fraction form
    362,402.12/500,138.10 = 201,257.16/x
  3. Step 3: Cross multiply
    362,402.12x = 500,138.10 × 201,257.16
  4. Step 4: Simplify right side
    362,402.12x = 100,656,373,613.80
  5. Step 5: Solve for x
    x = 100,656,373,613.80/362,402.12
  6. Step 6: Final answer
    x = 277,747.75

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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.