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Finding the Fourth Proportional to 377,814, 521,383.32 and 208,047.72

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Solution

The fourth proportional to 377,814, 521,383.32 and 208,047.72 is: 287,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,814 : 521,383.32 = 208,047.72 : x
  2. Step 2: Convert to fraction form
    377,814/521,383.32 = 208,047.72/x
  3. Step 3: Cross multiply
    377,814x = 521,383.32 × 208,047.72
  4. Step 4: Simplify right side
    377,814x = 108,472,610,972.03
  5. Step 5: Solve for x
    x = 108,472,610,972.03/377,814
  6. Step 6: Final answer
    x = 287,105.85

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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.