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Finding the Fourth Proportional to 380,072.82, 570,274.62 and 238,243.14

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Solution

The fourth proportional to 380,072.82, 570,274.62 and 238,243.14 is: 357,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,072.82 : 570,274.62 = 238,243.14 : x
  2. Step 2: Convert to fraction form
    380,072.82/570,274.62 = 238,243.14/x
  3. Step 3: Cross multiply
    380,072.82x = 570,274.62 × 238,243.14
  4. Step 4: Simplify right side
    380,072.82x = 135,864,016,131.11
  5. Step 5: Solve for x
    x = 135,864,016,131.11/380,072.82
  6. Step 6: Final answer
    x = 357,468.38

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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.