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Finding the Fourth Proportional to 305,971.70, 422,269.43 and 185,142.78

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Solution

The fourth proportional to 305,971.70, 422,269.43 and 185,142.78 is: 255,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971.70 : 422,269.43 = 185,142.78 : x
  2. Step 2: Convert to fraction form
    305,971.70/422,269.43 = 185,142.78/x
  3. Step 3: Cross multiply
    305,971.70x = 422,269.43 × 185,142.78
  4. Step 4: Simplify right side
    305,971.70x = 78,180,135,253.50
  5. Step 5: Solve for x
    x = 78,180,135,253.50/305,971.70
  6. Step 6: Final answer
    x = 255,514.27

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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.