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Finding the Fourth Proportional to 206,893.60, 310,413.30 and 199,603.60

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Solution

The fourth proportional to 206,893.60, 310,413.30 and 199,603.60 is: 299,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.60 : 310,413.30 = 199,603.60 : x
  2. Step 2: Convert to fraction form
    206,893.60/310,413.30 = 199,603.60/x
  3. Step 3: Cross multiply
    206,893.60x = 310,413.30 × 199,603.60
  4. Step 4: Simplify right side
    206,893.60x = 61,959,612,167.88
  5. Step 5: Solve for x
    x = 61,959,612,167.88/206,893.60
  6. Step 6: Final answer
    x = 299,475.73

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1.5x scale

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.