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Finding the Fourth Proportional to 377,296, 520,668.80 and 218,320

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Solution

The fourth proportional to 377,296, 520,668.80 and 218,320 is: 301,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,296 : 520,668.80 = 218,320 : x
  2. Step 2: Convert to fraction form
    377,296/520,668.80 = 218,320/x
  3. Step 3: Cross multiply
    377,296x = 520,668.80 × 218,320
  4. Step 4: Simplify right side
    377,296x = 113,672,412,416
  5. Step 5: Solve for x
    x = 113,672,412,416/377,296
  6. Step 6: Final answer
    x = 301,281.79

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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.