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Finding the Fourth Proportional to 405,247.59, 559,243.42 and 221,489.86

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Solution

The fourth proportional to 405,247.59, 559,243.42 and 221,489.86 is: 305,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,247.59 : 559,243.42 = 221,489.86 : x
  2. Step 2: Convert to fraction form
    405,247.59/559,243.42 = 221,489.86/x
  3. Step 3: Cross multiply
    405,247.59x = 559,243.42 × 221,489.86
  4. Step 4: Simplify right side
    405,247.59x = 123,866,747,369.24
  5. Step 5: Solve for x
    x = 123,866,747,369.24/405,247.59
  6. Step 6: Final answer
    x = 305,656.96

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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.