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Finding the Fourth Proportional to 405,909.93, 560,147.31 and 224,621.73

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Solution

The fourth proportional to 405,909.93, 560,147.31 and 224,621.73 is: 309,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,909.93 : 560,147.31 = 224,621.73 : x
  2. Step 2: Convert to fraction form
    405,909.93/560,147.31 = 224,621.73/x
  3. Step 3: Cross multiply
    405,909.93x = 560,147.31 × 224,621.73
  4. Step 4: Simplify right side
    405,909.93x = 125,821,257,827.05
  5. Step 5: Solve for x
    x = 125,821,257,827.05/405,909.93
  6. Step 6: Final answer
    x = 309,973.34

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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.