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Finding the Fourth Proportional to 422,105.29, 583,016.51 and 307,201.73

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Solution

The fourth proportional to 422,105.29, 583,016.51 and 307,201.73 is: 424,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,105.29 : 583,016.51 = 307,201.73 : x
  2. Step 2: Convert to fraction form
    422,105.29/583,016.51 = 307,201.73/x
  3. Step 3: Cross multiply
    422,105.29x = 583,016.51 × 307,201.73
  4. Step 4: Simplify right side
    422,105.29x = 179,103,676,039.47
  5. Step 5: Solve for x
    x = 179,103,676,039.47/422,105.29
  6. Step 6: Final answer
    x = 424,310.43

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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.