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Finding the Fourth Proportional to 414,084.40, 620,737.80 and 324,077.20

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Solution

The fourth proportional to 414,084.40, 620,737.80 and 324,077.20 is: 485,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,084.40 : 620,737.80 = 324,077.20 : x
  2. Step 2: Convert to fraction form
    414,084.40/620,737.80 = 324,077.20/x
  3. Step 3: Cross multiply
    414,084.40x = 620,737.80 × 324,077.20
  4. Step 4: Simplify right side
    414,084.40x = 201,166,968,158.16
  5. Step 5: Solve for x
    x = 201,166,968,158.16/414,084.40
  6. Step 6: Final answer
    x = 485,811.51

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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.