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Finding the Fourth Proportional to 389,425.85, 584,138.78 and 202,801.85

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Solution

The fourth proportional to 389,425.85, 584,138.78 and 202,801.85 is: 304,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,425.85 : 584,138.78 = 202,801.85 : x
  2. Step 2: Convert to fraction form
    389,425.85/584,138.78 = 202,801.85/x
  3. Step 3: Cross multiply
    389,425.85x = 584,138.78 × 202,801.85
  4. Step 4: Simplify right side
    389,425.85x = 118,464,424,226.73
  5. Step 5: Solve for x
    x = 118,464,424,226.73/389,425.85
  6. Step 6: Final answer
    x = 304,202.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.