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Finding the Fourth Proportional to 470,791.16, 649,684.12 and 255,936.62

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Solution

The fourth proportional to 470,791.16, 649,684.12 and 255,936.62 is: 353,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,791.16 : 649,684.12 = 255,936.62 : x
  2. Step 2: Convert to fraction form
    470,791.16/649,684.12 = 255,936.62/x
  3. Step 3: Cross multiply
    470,791.16x = 649,684.12 × 255,936.62
  4. Step 4: Simplify right side
    470,791.16x = 166,277,957,740.47
  5. Step 5: Solve for x
    x = 166,277,957,740.47/470,791.16
  6. Step 6: Final answer
    x = 353,188.36

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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.