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Finding the Fourth Proportional to 378,492.89, 567,741.42 and 112,255.38

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Solution

The fourth proportional to 378,492.89, 567,741.42 and 112,255.38 is: 168,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,492.89 : 567,741.42 = 112,255.38 : x
  2. Step 2: Convert to fraction form
    378,492.89/567,741.42 = 112,255.38/x
  3. Step 3: Cross multiply
    378,492.89x = 567,741.42 × 112,255.38
  4. Step 4: Simplify right side
    378,492.89x = 63,732,028,843.84
  5. Step 5: Solve for x
    x = 63,732,028,843.84/378,492.89
  6. Step 6: Final answer
    x = 168,383.69

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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.