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Finding the Fourth Proportional to 405,982.72, 560,248.32 and 224,694.64

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Solution

The fourth proportional to 405,982.72, 560,248.32 and 224,694.64 is: 310,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,982.72 : 560,248.32 = 224,694.64 : x
  2. Step 2: Convert to fraction form
    405,982.72/560,248.32 = 224,694.64/x
  3. Step 3: Cross multiply
    405,982.72x = 560,248.32 × 224,694.64
  4. Step 4: Simplify right side
    405,982.72x = 125,884,794,573.01
  5. Step 5: Solve for x
    x = 125,884,794,573.01/405,982.72
  6. Step 6: Final answer
    x = 310,074.27

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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.