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Finding the Fourth Proportional to 470,469.69, 705,778.38 and 281,143.89

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Solution

The fourth proportional to 470,469.69, 705,778.38 and 281,143.89 is: 421,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,469.69 : 705,778.38 = 281,143.89 : x
  2. Step 2: Convert to fraction form
    470,469.69/705,778.38 = 281,143.89/x
  3. Step 3: Cross multiply
    470,469.69x = 705,778.38 × 281,143.89
  4. Step 4: Simplify right side
    470,469.69x = 198,425,279,231.10
  5. Step 5: Solve for x
    x = 198,425,279,231.10/470,469.69
  6. Step 6: Final answer
    x = 421,759.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.