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Finding the Fourth Proportional to 1,505,984.87, 2,258,978.12 and 945,413.03

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Solution

The fourth proportional to 1,505,984.87, 2,258,978.12 and 945,413.03 is: 1,418,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,984.87 : 2,258,978.12 = 945,413.03 : x
  2. Step 2: Convert to fraction form
    1,505,984.87/2,258,978.12 = 945,413.03/x
  3. Step 3: Cross multiply
    1,505,984.87x = 2,258,978.12 × 945,413.03
  4. Step 4: Simplify right side
    1,505,984.87x = 2,135,667,353,598.58
  5. Step 5: Solve for x
    x = 2,135,667,353,598.58/1,505,984.87
  6. Step 6: Final answer
    x = 1,418,120.06

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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.