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Finding the Fourth Proportional to 218,618.37, 301,832.64 and 178,428

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Solution

The fourth proportional to 218,618.37, 301,832.64 and 178,428 is: 246,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,618.37 : 301,832.64 = 178,428 : x
  2. Step 2: Convert to fraction form
    218,618.37/301,832.64 = 178,428/x
  3. Step 3: Cross multiply
    218,618.37x = 301,832.64 × 178,428
  4. Step 4: Simplify right side
    218,618.37x = 53,855,394,289.92
  5. Step 5: Solve for x
    x = 53,855,394,289.92/218,618.37
  6. Step 6: Final answer
    x = 246,344.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.