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Finding the Fourth Proportional to 282,994.26, 390,542.37 and 155,679.54

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Solution

The fourth proportional to 282,994.26, 390,542.37 and 155,679.54 is: 214,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,994.26 : 390,542.37 = 155,679.54 : x
  2. Step 2: Convert to fraction form
    282,994.26/390,542.37 = 155,679.54/x
  3. Step 3: Cross multiply
    282,994.26x = 390,542.37 × 155,679.54
  4. Step 4: Simplify right side
    282,994.26x = 60,799,456,512.11
  5. Step 5: Solve for x
    x = 60,799,456,512.11/282,994.26
  6. Step 6: Final answer
    x = 214,843.43

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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.