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Finding the Fourth Proportional to 305,907.56, 422,034.65 and 225,526.19

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Solution

The fourth proportional to 305,907.56, 422,034.65 and 225,526.19 is: 311,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.56 : 422,034.65 = 225,526.19 : x
  2. Step 2: Convert to fraction form
    305,907.56/422,034.65 = 225,526.19/x
  3. Step 3: Cross multiply
    305,907.56x = 422,034.65 × 225,526.19
  4. Step 4: Simplify right side
    305,907.56x = 95,179,866,662.48
  5. Step 5: Solve for x
    x = 95,179,866,662.48/305,907.56
  6. Step 6: Final answer
    x = 311,139.31

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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.