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Finding the Fourth Proportional to 301,086.53, 451,705.74 and 212,513.03

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Solution

The fourth proportional to 301,086.53, 451,705.74 and 212,513.03 is: 318,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,086.53 : 451,705.74 = 212,513.03 : x
  2. Step 2: Convert to fraction form
    301,086.53/451,705.74 = 212,513.03/x
  3. Step 3: Cross multiply
    301,086.53x = 451,705.74 × 212,513.03
  4. Step 4: Simplify right side
    301,086.53x = 95,993,354,413.23
  5. Step 5: Solve for x
    x = 95,993,354,413.23/301,086.53
  6. Step 6: Final answer
    x = 318,823.15

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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.