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Finding the Fourth Proportional to 405,413.43, 608,194.25 and 135,516.03

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Solution

The fourth proportional to 405,413.43, 608,194.25 and 135,516.03 is: 203,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,413.43 : 608,194.25 = 135,516.03 : x
  2. Step 2: Convert to fraction form
    405,413.43/608,194.25 = 135,516.03/x
  3. Step 3: Cross multiply
    405,413.43x = 608,194.25 × 135,516.03
  4. Step 4: Simplify right side
    405,413.43x = 82,420,070,228.83
  5. Step 5: Solve for x
    x = 82,420,070,228.83/405,413.43
  6. Step 6: Final answer
    x = 203,298.82

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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.