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Finding the Fourth Proportional to 306,249, 422,447.46 and 191,328.36

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Solution

The fourth proportional to 306,249, 422,447.46 and 191,328.36 is: 263,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,249 : 422,447.46 = 191,328.36 : x
  2. Step 2: Convert to fraction form
    306,249/422,447.46 = 191,328.36/x
  3. Step 3: Cross multiply
    306,249x = 422,447.46 × 191,328.36
  4. Step 4: Simplify right side
    306,249x = 80,826,179,707.97
  5. Step 5: Solve for x
    x = 80,826,179,707.97/306,249
  6. Step 6: Final answer
    x = 263,923.08

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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.