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Finding the Fourth Proportional to 403,290.42, 605,309.27 and 203,751.42

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Solution

The fourth proportional to 403,290.42, 605,309.27 and 203,751.42 is: 305,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,290.42 : 605,309.27 = 203,751.42 : x
  2. Step 2: Convert to fraction form
    403,290.42/605,309.27 = 203,751.42/x
  3. Step 3: Cross multiply
    403,290.42x = 605,309.27 × 203,751.42
  4. Step 4: Simplify right side
    403,290.42x = 123,332,622,282.91
  5. Step 5: Solve for x
    x = 123,332,622,282.91/403,290.42
  6. Step 6: Final answer
    x = 305,815.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.