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Finding the Fourth Proportional to 681,619.24, 939,896.22 and 463,969

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Solution

The fourth proportional to 681,619.24, 939,896.22 and 463,969 is: 639,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,619.24 : 939,896.22 = 463,969 : x
  2. Step 2: Convert to fraction form
    681,619.24/939,896.22 = 463,969/x
  3. Step 3: Cross multiply
    681,619.24x = 939,896.22 × 463,969
  4. Step 4: Simplify right side
    681,619.24x = 436,082,709,297.18
  5. Step 5: Solve for x
    x = 436,082,709,297.18/681,619.24
  6. Step 6: Final answer
    x = 639,774.65

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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.