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Finding the Fourth Proportional to 377,872, 521,463.36 and 208,105.76

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Solution

The fourth proportional to 377,872, 521,463.36 and 208,105.76 is: 287,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,872 : 521,463.36 = 208,105.76 : x
  2. Step 2: Convert to fraction form
    377,872/521,463.36 = 208,105.76/x
  3. Step 3: Cross multiply
    377,872x = 521,463.36 × 208,105.76
  4. Step 4: Simplify right side
    377,872x = 108,519,528,844.95
  5. Step 5: Solve for x
    x = 108,519,528,844.95/377,872
  6. Step 6: Final answer
    x = 287,185.95

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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.