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Finding the Fourth Proportional to 405,871.92, 560,103.90 and 224,591.49

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Solution

The fourth proportional to 405,871.92, 560,103.90 and 224,591.49 is: 309,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,871.92 : 560,103.90 = 224,591.49 : x
  2. Step 2: Convert to fraction form
    405,871.92/560,103.90 = 224,591.49/x
  3. Step 3: Cross multiply
    405,871.92x = 560,103.90 × 224,591.49
  4. Step 4: Simplify right side
    405,871.92x = 125,794,569,455.81
  5. Step 5: Solve for x
    x = 125,794,569,455.81/405,871.92
  6. Step 6: Final answer
    x = 309,936.62

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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.