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Finding the Fourth Proportional to 470,286, 649,180.68 and 327,129.12

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Solution

The fourth proportional to 470,286, 649,180.68 and 327,129.12 is: 451,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,286 : 649,180.68 = 327,129.12 : x
  2. Step 2: Convert to fraction form
    470,286/649,180.68 = 327,129.12/x
  3. Step 3: Cross multiply
    470,286x = 649,180.68 × 327,129.12
  4. Step 4: Simplify right side
    470,286x = 212,365,904,569.40
  5. Step 5: Solve for x
    x = 212,365,904,569.40/470,286
  6. Step 6: Final answer
    x = 451,567.57

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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.