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Finding the Fourth Proportional to 405,857.44, 560,255.77 and 252,971.78

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Solution

The fourth proportional to 405,857.44, 560,255.77 and 252,971.78 is: 349,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,857.44 : 560,255.77 = 252,971.78 : x
  2. Step 2: Convert to fraction form
    405,857.44/560,255.77 = 252,971.78/x
  3. Step 3: Cross multiply
    405,857.44x = 560,255.77 × 252,971.78
  4. Step 4: Simplify right side
    405,857.44x = 141,728,896,907.11
  5. Step 5: Solve for x
    x = 141,728,896,907.11/405,857.44
  6. Step 6: Final answer
    x = 349,208.58

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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.