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Finding the Fourth Proportional to 377,790, 521,350.20 and 208,023.72

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Solution

The fourth proportional to 377,790, 521,350.20 and 208,023.72 is: 287,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,790 : 521,350.20 = 208,023.72 : x
  2. Step 2: Convert to fraction form
    377,790/521,350.20 = 208,023.72/x
  3. Step 3: Cross multiply
    377,790x = 521,350.20 × 208,023.72
  4. Step 4: Simplify right side
    377,790x = 108,453,208,026.74
  5. Step 5: Solve for x
    x = 108,453,208,026.74/377,790
  6. Step 6: Final answer
    x = 287,072.73

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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.