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Finding the Fourth Proportional to 652,120.20, 978,180.30 and 402,942.60

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Solution

The fourth proportional to 652,120.20, 978,180.30 and 402,942.60 is: 604,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,120.20 : 978,180.30 = 402,942.60 : x
  2. Step 2: Convert to fraction form
    652,120.20/978,180.30 = 402,942.60/x
  3. Step 3: Cross multiply
    652,120.20x = 978,180.30 × 402,942.60
  4. Step 4: Simplify right side
    652,120.20x = 394,150,513,350.78
  5. Step 5: Solve for x
    x = 394,150,513,350.78/652,120.20
  6. Step 6: Final answer
    x = 604,413.90

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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.