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Finding the Fourth Proportional to 377,882.62, 521,454.31 and 208,116.74

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Solution

The fourth proportional to 377,882.62, 521,454.31 and 208,116.74 is: 287,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,882.62 : 521,454.31 = 208,116.74 : x
  2. Step 2: Convert to fraction form
    377,882.62/521,454.31 = 208,116.74/x
  3. Step 3: Cross multiply
    377,882.62x = 521,454.31 × 208,116.74
  4. Step 4: Simplify right side
    377,882.62x = 108,523,371,839.49
  5. Step 5: Solve for x
    x = 108,523,371,839.49/377,882.62
  6. Step 6: Final answer
    x = 287,188.05

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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.