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Finding the Fourth Proportional to 613,064.67, 846,146.32 and 405,968.03

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Solution

The fourth proportional to 613,064.67, 846,146.32 and 405,968.03 is: 560,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,064.67 : 846,146.32 = 405,968.03 : x
  2. Step 2: Convert to fraction form
    613,064.67/846,146.32 = 405,968.03/x
  3. Step 3: Cross multiply
    613,064.67x = 846,146.32 × 405,968.03
  4. Step 4: Simplify right side
    613,064.67x = 343,508,352,549.55
  5. Step 5: Solve for x
    x = 343,508,352,549.55/613,064.67
  6. Step 6: Final answer
    x = 560,313.41

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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.