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Finding the Fourth Proportional to 306,472.46, 422,990.24 and 191,804.40

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Solution

The fourth proportional to 306,472.46, 422,990.24 and 191,804.40 is: 264,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,472.46 : 422,990.24 = 191,804.40 : x
  2. Step 2: Convert to fraction form
    306,472.46/422,990.24 = 191,804.40/x
  3. Step 3: Cross multiply
    306,472.46x = 422,990.24 × 191,804.40
  4. Step 4: Simplify right side
    306,472.46x = 81,131,388,230.03
  5. Step 5: Solve for x
    x = 81,131,388,230.03/306,472.46
  6. Step 6: Final answer
    x = 264,726.53

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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.