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Finding the Fourth Proportional to 405,388.70, 559,443.24 and 235,622.84

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Solution

The fourth proportional to 405,388.70, 559,443.24 and 235,622.84 is: 325,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,388.70 : 559,443.24 = 235,622.84 : x
  2. Step 2: Convert to fraction form
    405,388.70/559,443.24 = 235,622.84/x
  3. Step 3: Cross multiply
    405,388.70x = 559,443.24 × 235,622.84
  4. Step 4: Simplify right side
    405,388.70x = 131,817,605,027.60
  5. Step 5: Solve for x
    x = 131,817,605,027.60/405,388.70
  6. Step 6: Final answer
    x = 325,163.49

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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.