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Finding the Fourth Proportional to 470,291.50, 649,188.27 and 327,134.62

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Solution

The fourth proportional to 470,291.50, 649,188.27 and 327,134.62 is: 451,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,291.50 : 649,188.27 = 327,134.62 : x
  2. Step 2: Convert to fraction form
    470,291.50/649,188.27 = 327,134.62/x
  3. Step 3: Cross multiply
    470,291.50x = 649,188.27 × 327,134.62
  4. Step 4: Simplify right side
    470,291.50x = 212,371,958,014.91
  5. Step 5: Solve for x
    x = 212,371,958,014.91/470,291.50
  6. Step 6: Final answer
    x = 451,575.16

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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.