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Finding the Fourth Proportional to 613,902.12, 847,172.16 and 341,969.64

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Solution

The fourth proportional to 613,902.12, 847,172.16 and 341,969.64 is: 471,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,902.12 : 847,172.16 = 341,969.64 : x
  2. Step 2: Convert to fraction form
    613,902.12/847,172.16 = 341,969.64/x
  3. Step 3: Cross multiply
    613,902.12x = 847,172.16 × 341,969.64
  4. Step 4: Simplify right side
    613,902.12x = 289,707,158,573.22
  5. Step 5: Solve for x
    x = 289,707,158,573.22/613,902.12
  6. Step 6: Final answer
    x = 471,910.99

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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.