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Finding the Fourth Proportional to 405,942.64, 560,192.42 and 224,643.78

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Solution

The fourth proportional to 405,942.64, 560,192.42 and 224,643.78 is: 310,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,942.64 : 560,192.42 = 224,643.78 : x
  2. Step 2: Convert to fraction form
    405,942.64/560,192.42 = 224,643.78/x
  3. Step 3: Cross multiply
    405,942.64x = 560,192.42 × 224,643.78
  4. Step 4: Simplify right side
    405,942.64x = 125,843,743,317.76
  5. Step 5: Solve for x
    x = 125,843,743,317.76/405,942.64
  6. Step 6: Final answer
    x = 310,003.76

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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.