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Finding the Fourth Proportional to 397,848, 596,772 and 135,192

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Solution

The fourth proportional to 397,848, 596,772 and 135,192 is: 202,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,848 : 596,772 = 135,192 : x
  2. Step 2: Convert to fraction form
    397,848/596,772 = 135,192/x
  3. Step 3: Cross multiply
    397,848x = 596,772 × 135,192
  4. Step 4: Simplify right side
    397,848x = 80,678,800,224
  5. Step 5: Solve for x
    x = 80,678,800,224/397,848
  6. Step 6: Final answer
    x = 202,788

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