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Finding the Fourth Proportional to 282,361.34, 389,659.31 and 155,045.14

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Solution

The fourth proportional to 282,361.34, 389,659.31 and 155,045.14 is: 213,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,361.34 : 389,659.31 = 155,045.14 : x
  2. Step 2: Convert to fraction form
    282,361.34/389,659.31 = 155,045.14/x
  3. Step 3: Cross multiply
    282,361.34x = 389,659.31 × 155,045.14
  4. Step 4: Simplify right side
    282,361.34x = 60,414,781,103.30
  5. Step 5: Solve for x
    x = 60,414,781,103.30/282,361.34
  6. Step 6: Final answer
    x = 213,962.65

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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.