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Finding the Fourth Proportional to 405,404.56, 559,441.16 and 239,939.78

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Solution

The fourth proportional to 405,404.56, 559,441.16 and 239,939.78 is: 331,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,404.56 : 559,441.16 = 239,939.78 : x
  2. Step 2: Convert to fraction form
    405,404.56/559,441.16 = 239,939.78/x
  3. Step 3: Cross multiply
    405,404.56x = 559,441.16 × 239,939.78
  4. Step 4: Simplify right side
    405,404.56x = 134,232,188,853.35
  5. Step 5: Solve for x
    x = 134,232,188,853.35/405,404.56
  6. Step 6: Final answer
    x = 331,106.76

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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.