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Finding the Fourth Proportional to 397,852, 596,778 and 135,196

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Solution

The fourth proportional to 397,852, 596,778 and 135,196 is: 202,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,852 : 596,778 = 135,196 : x
  2. Step 2: Convert to fraction form
    397,852/596,778 = 135,196/x
  3. Step 3: Cross multiply
    397,852x = 596,778 × 135,196
  4. Step 4: Simplify right side
    397,852x = 80,681,998,488
  5. Step 5: Solve for x
    x = 80,681,998,488/397,852
  6. Step 6: Final answer
    x = 202,794

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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.