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Finding the Fourth Proportional to 405,375.60, 559,396.44 and 224,076.72

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Solution

The fourth proportional to 405,375.60, 559,396.44 and 224,076.72 is: 309,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,375.60 : 559,396.44 = 224,076.72 : x
  2. Step 2: Convert to fraction form
    405,375.60/559,396.44 = 224,076.72/x
  3. Step 3: Cross multiply
    405,375.60x = 559,396.44 × 224,076.72
  4. Step 4: Simplify right side
    405,375.60x = 125,347,719,454.88
  5. Step 5: Solve for x
    x = 125,347,719,454.88/405,375.60
  6. Step 6: Final answer
    x = 309,213.77

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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.