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Finding the Fourth Proportional to 343,993.56, 474,935.90 and 223,478.30

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Solution

The fourth proportional to 343,993.56, 474,935.90 and 223,478.30 is: 308,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,993.56 : 474,935.90 = 223,478.30 : x
  2. Step 2: Convert to fraction form
    343,993.56/474,935.90 = 223,478.30/x
  3. Step 3: Cross multiply
    343,993.56x = 474,935.90 × 223,478.30
  4. Step 4: Simplify right side
    343,993.56x = 106,137,864,048.90
  5. Step 5: Solve for x
    x = 106,137,864,048.90/343,993.56
  6. Step 6: Final answer
    x = 308,546.08

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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.