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Finding the Fourth Proportional to 405,829.80, 560,061.60 and 224,538.78

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Solution

The fourth proportional to 405,829.80, 560,061.60 and 224,538.78 is: 309,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,829.80 : 560,061.60 = 224,538.78 : x
  2. Step 2: Convert to fraction form
    405,829.80/560,061.60 = 224,538.78/x
  3. Step 3: Cross multiply
    405,829.80x = 560,061.60 × 224,538.78
  4. Step 4: Simplify right side
    405,829.80x = 125,755,548,388.85
  5. Step 5: Solve for x
    x = 125,755,548,388.85/405,829.80
  6. Step 6: Final answer
    x = 309,872.63

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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.