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Finding the Fourth Proportional to 405,347.82, 559,382.22 and 221,586.54

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Solution

The fourth proportional to 405,347.82, 559,382.22 and 221,586.54 is: 305,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,347.82 : 559,382.22 = 221,586.54 : x
  2. Step 2: Convert to fraction form
    405,347.82/559,382.22 = 221,586.54/x
  3. Step 3: Cross multiply
    405,347.82x = 559,382.22 × 221,586.54
  4. Step 4: Simplify right side
    405,347.82x = 123,951,570,667.32
  5. Step 5: Solve for x
    x = 123,951,570,667.32/405,347.82
  6. Step 6: Final answer
    x = 305,790.64

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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.