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Finding the Fourth Proportional to 627,137, 865,458.36 and 355,198.12

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Solution

The fourth proportional to 627,137, 865,458.36 and 355,198.12 is: 490,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,137 : 865,458.36 = 355,198.12 : x
  2. Step 2: Convert to fraction form
    627,137/865,458.36 = 355,198.12/x
  3. Step 3: Cross multiply
    627,137x = 865,458.36 × 355,198.12
  4. Step 4: Simplify right side
    627,137x = 307,409,182,410.28
  5. Step 5: Solve for x
    x = 307,409,182,410.28/627,137
  6. Step 6: Final answer
    x = 490,178.67

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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.