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Finding the Fourth Proportional to 258,835.25, 388,346.30 and 90,380.40

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Solution

The fourth proportional to 258,835.25, 388,346.30 and 90,380.40 is: 135,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,835.25 : 388,346.30 = 90,380.40 : x
  2. Step 2: Convert to fraction form
    258,835.25/388,346.30 = 90,380.40/x
  3. Step 3: Cross multiply
    258,835.25x = 388,346.30 × 90,380.40
  4. Step 4: Simplify right side
    258,835.25x = 35,098,893,480.62
  5. Step 5: Solve for x
    x = 35,098,893,480.62/258,835.25
  6. Step 6: Final answer
    x = 135,603.22

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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.