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Finding the Fourth Proportional to 405,787.91, 559,996.25 and 224,512.71

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Solution

The fourth proportional to 405,787.91, 559,996.25 and 224,512.71 is: 309,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,787.91 : 559,996.25 = 224,512.71 : x
  2. Step 2: Convert to fraction form
    405,787.91/559,996.25 = 224,512.71/x
  3. Step 3: Cross multiply
    405,787.91x = 559,996.25 × 224,512.71
  4. Step 4: Simplify right side
    405,787.91x = 125,726,274,554.77
  5. Step 5: Solve for x
    x = 125,726,274,554.77/405,787.91
  6. Step 6: Final answer
    x = 309,832.48

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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.