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Finding the Fourth Proportional to 405,082.35, 559,024.92 and 223,805.97

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Solution

The fourth proportional to 405,082.35, 559,024.92 and 223,805.97 is: 308,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,082.35 : 559,024.92 = 223,805.97 : x
  2. Step 2: Convert to fraction form
    405,082.35/559,024.92 = 223,805.97/x
  3. Step 3: Cross multiply
    405,082.35x = 559,024.92 × 223,805.97
  4. Step 4: Simplify right side
    405,082.35x = 125,113,114,474.77
  5. Step 5: Solve for x
    x = 125,113,114,474.77/405,082.35
  6. Step 6: Final answer
    x = 308,858.47

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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.