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Finding the Fourth Proportional to 347,502, 520,404.16 and 214,198.89

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Solution

The fourth proportional to 347,502, 520,404.16 and 214,198.89 is: 320,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,502 : 520,404.16 = 214,198.89 : x
  2. Step 2: Convert to fraction form
    347,502/520,404.16 = 214,198.89/x
  3. Step 3: Cross multiply
    347,502x = 520,404.16 × 214,198.89
  4. Step 4: Simplify right side
    347,502x = 111,469,993,423.38
  5. Step 5: Solve for x
    x = 111,469,993,423.38/347,502
  6. Step 6: Final answer
    x = 320,775.11

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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.