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Finding the Fourth Proportional to 305,900.93, 422,025.51 and 225,519.57

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Solution

The fourth proportional to 305,900.93, 422,025.51 and 225,519.57 is: 311,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,900.93 : 422,025.51 = 225,519.57 : x
  2. Step 2: Convert to fraction form
    305,900.93/422,025.51 = 225,519.57/x
  3. Step 3: Cross multiply
    305,900.93x = 422,025.51 × 225,519.57
  4. Step 4: Simplify right side
    305,900.93x = 95,175,011,544.23
  5. Step 5: Solve for x
    x = 95,175,011,544.23/305,900.93
  6. Step 6: Final answer
    x = 311,130.18

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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.