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Finding the Fourth Proportional to 654,413.64, 981,591.88 and 205,124.28

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Solution

The fourth proportional to 654,413.64, 981,591.88 and 205,124.28 is: 307,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,413.64 : 981,591.88 = 205,124.28 : x
  2. Step 2: Convert to fraction form
    654,413.64/981,591.88 = 205,124.28/x
  3. Step 3: Cross multiply
    654,413.64x = 981,591.88 × 205,124.28
  4. Step 4: Simplify right side
    654,413.64x = 201,348,327,638.85
  5. Step 5: Solve for x
    x = 201,348,327,638.85/654,413.64
  6. Step 6: Final answer
    x = 307,677.46

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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.