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Finding the Fourth Proportional to 405,839.70, 560,059.38 and 224,559.27

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Solution

The fourth proportional to 405,839.70, 560,059.38 and 224,559.27 is: 309,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,839.70 : 560,059.38 = 224,559.27 : x
  2. Step 2: Convert to fraction form
    405,839.70/560,059.38 = 224,559.27/x
  3. Step 3: Cross multiply
    405,839.70x = 560,059.38 × 224,559.27
  4. Step 4: Simplify right side
    405,839.70x = 125,766,525,529.45
  5. Step 5: Solve for x
    x = 125,766,525,529.45/405,839.70
  6. Step 6: Final answer
    x = 309,892.12

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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.