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Finding the Fourth Proportional to 405,680.54, 559,822.01 and 221,916.06

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Solution

The fourth proportional to 405,680.54, 559,822.01 and 221,916.06 is: 306,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,680.54 : 559,822.01 = 221,916.06 : x
  2. Step 2: Convert to fraction form
    405,680.54/559,822.01 = 221,916.06/x
  3. Step 3: Cross multiply
    405,680.54x = 559,822.01 × 221,916.06
  4. Step 4: Simplify right side
    405,680.54x = 124,233,493,650.90
  5. Step 5: Solve for x
    x = 124,233,493,650.90/405,680.54
  6. Step 6: Final answer
    x = 306,234.79

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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.