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Finding the Fourth Proportional to 309,561.78, 427,256.52 and 200,800.92

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Solution

The fourth proportional to 309,561.78, 427,256.52 and 200,800.92 is: 277,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,561.78 : 427,256.52 = 200,800.92 : x
  2. Step 2: Convert to fraction form
    309,561.78/427,256.52 = 200,800.92/x
  3. Step 3: Cross multiply
    309,561.78x = 427,256.52 × 200,800.92
  4. Step 4: Simplify right side
    309,561.78x = 85,793,502,292.00
  5. Step 5: Solve for x
    x = 85,793,502,292.00/309,561.78
  6. Step 6: Final answer
    x = 277,145.01

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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.