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Finding the Fourth Proportional to 282,994.36, 390,540.46 and 162,147

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Solution

The fourth proportional to 282,994.36, 390,540.46 and 162,147 is: 223,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,994.36 : 390,540.46 = 162,147 : x
  2. Step 2: Convert to fraction form
    282,994.36/390,540.46 = 162,147/x
  3. Step 3: Cross multiply
    282,994.36x = 390,540.46 × 162,147
  4. Step 4: Simplify right side
    282,994.36x = 63,324,963,967.62
  5. Step 5: Solve for x
    x = 63,324,963,967.62/282,994.36
  6. Step 6: Final answer
    x = 223,767.58

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Why These Related Problems?

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