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Finding the Fourth Proportional to 405,329.31, 559,388.97 and 235,552.50

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Solution

The fourth proportional to 405,329.31, 559,388.97 and 235,552.50 is: 325,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,329.31 : 559,388.97 = 235,552.50 : x
  2. Step 2: Convert to fraction form
    405,329.31/559,388.97 = 235,552.50/x
  3. Step 3: Cross multiply
    405,329.31x = 559,388.97 × 235,552.50
  4. Step 4: Simplify right side
    405,329.31x = 131,765,470,355.93
  5. Step 5: Solve for x
    x = 131,765,470,355.93/405,329.31
  6. Step 6: Final answer
    x = 325,082.51

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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.