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Finding the Fourth Proportional to 377,814.85, 521,344.85 and 214,419.32

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Solution

The fourth proportional to 377,814.85, 521,344.85 and 214,419.32 is: 295,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,814.85 : 521,344.85 = 214,419.32 : x
  2. Step 2: Convert to fraction form
    377,814.85/521,344.85 = 214,419.32/x
  3. Step 3: Cross multiply
    377,814.85x = 521,344.85 × 214,419.32
  4. Step 4: Simplify right side
    377,814.85x = 111,786,406,383.09
  5. Step 5: Solve for x
    x = 111,786,406,383.09/377,814.85
  6. Step 6: Final answer
    x = 295,876.16

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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.