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Finding the Fourth Proportional to 405,709.44, 559,835.90 and 224,392.56

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Solution

The fourth proportional to 405,709.44, 559,835.90 and 224,392.56 is: 309,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,709.44 : 559,835.90 = 224,392.56 : x
  2. Step 2: Convert to fraction form
    405,709.44/559,835.90 = 224,392.56/x
  3. Step 3: Cross multiply
    405,709.44x = 559,835.90 × 224,392.56
  4. Step 4: Simplify right side
    405,709.44x = 125,623,010,780.90
  5. Step 5: Solve for x
    x = 125,623,010,780.90/405,709.44
  6. Step 6: Final answer
    x = 309,637.88

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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.