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Finding the Fourth Proportional to 377,908.56, 521,489.85 and 208,142.67

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Solution

The fourth proportional to 377,908.56, 521,489.85 and 208,142.67 is: 287,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,908.56 : 521,489.85 = 208,142.67 : x
  2. Step 2: Convert to fraction form
    377,908.56/521,489.85 = 208,142.67/x
  3. Step 3: Cross multiply
    377,908.56x = 521,489.85 × 208,142.67
  4. Step 4: Simplify right side
    377,908.56x = 108,544,289,756.90
  5. Step 5: Solve for x
    x = 108,544,289,756.90/377,908.56
  6. Step 6: Final answer
    x = 287,223.69

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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.