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Finding the Fourth Proportional to 328,260.56, 492,390.84 and 78,942.56

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Solution

The fourth proportional to 328,260.56, 492,390.84 and 78,942.56 is: 118,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,260.56 : 492,390.84 = 78,942.56 : x
  2. Step 2: Convert to fraction form
    328,260.56/492,390.84 = 78,942.56/x
  3. Step 3: Cross multiply
    328,260.56x = 492,390.84 × 78,942.56
  4. Step 4: Simplify right side
    328,260.56x = 38,870,593,430.15
  5. Step 5: Solve for x
    x = 38,870,593,430.15/328,260.56
  6. Step 6: Final answer
    x = 118,413.84

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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.