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Finding the Fourth Proportional to 405,028.65, 558,891.64 and 223,729.71

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Solution

The fourth proportional to 405,028.65, 558,891.64 and 223,729.71 is: 308,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,028.65 : 558,891.64 = 223,729.71 : x
  2. Step 2: Convert to fraction form
    405,028.65/558,891.64 = 223,729.71/x
  3. Step 3: Cross multiply
    405,028.65x = 558,891.64 × 223,729.71
  4. Step 4: Simplify right side
    405,028.65x = 125,040,661,463.96
  5. Step 5: Solve for x
    x = 125,040,661,463.96/405,028.65
  6. Step 6: Final answer
    x = 308,720.53

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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.