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Finding the Fourth Proportional to 613,065.67, 846,147.70 and 405,969.03

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Solution

The fourth proportional to 613,065.67, 846,147.70 and 405,969.03 is: 560,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,065.67 : 846,147.70 = 405,969.03 : x
  2. Step 2: Convert to fraction form
    613,065.67/846,147.70 = 405,969.03/x
  3. Step 3: Cross multiply
    613,065.67x = 846,147.70 × 405,969.03
  4. Step 4: Simplify right side
    613,065.67x = 343,509,761,005.73
  5. Step 5: Solve for x
    x = 343,509,761,005.73/613,065.67
  6. Step 6: Final answer
    x = 560,314.79

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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.