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Finding the Fourth Proportional to 258,893.81, 388,385 and 118,664.45

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Solution

The fourth proportional to 258,893.81, 388,385 and 118,664.45 is: 178,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,893.81 : 388,385 = 118,664.45 : x
  2. Step 2: Convert to fraction form
    258,893.81/388,385 = 118,664.45/x
  3. Step 3: Cross multiply
    258,893.81x = 388,385 × 118,664.45
  4. Step 4: Simplify right side
    258,893.81x = 46,087,492,413.25
  5. Step 5: Solve for x
    x = 46,087,492,413.25/258,893.81
  6. Step 6: Final answer
    x = 178,016.97

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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.