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Finding the Fourth Proportional to 377,718.86, 521,257.31 and 205,642.04

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Solution

The fourth proportional to 377,718.86, 521,257.31 and 205,642.04 is: 283,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,718.86 : 521,257.31 = 205,642.04 : x
  2. Step 2: Convert to fraction form
    377,718.86/521,257.31 = 205,642.04/x
  3. Step 3: Cross multiply
    377,718.86x = 521,257.31 × 205,642.04
  4. Step 4: Simplify right side
    377,718.86x = 107,192,416,662.05
  5. Step 5: Solve for x
    x = 107,192,416,662.05/377,718.86
  6. Step 6: Final answer
    x = 283,788.89

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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.