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Finding the Fourth Proportional to 377,380.98, 520,789.14 and 205,302.71

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Solution

The fourth proportional to 377,380.98, 520,789.14 and 205,302.71 is: 283,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,380.98 : 520,789.14 = 205,302.71 : x
  2. Step 2: Convert to fraction form
    377,380.98/520,789.14 = 205,302.71/x
  3. Step 3: Cross multiply
    377,380.98x = 520,789.14 × 205,302.71
  4. Step 4: Simplify right side
    377,380.98x = 106,919,421,780.57
  5. Step 5: Solve for x
    x = 106,919,421,780.57/377,380.98
  6. Step 6: Final answer
    x = 283,319.58

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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.