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Finding the Fourth Proportional to 414,912.80, 620,986.80 and 365,146.40

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Solution

The fourth proportional to 414,912.80, 620,986.80 and 365,146.40 is: 546,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,912.80 : 620,986.80 = 365,146.40 : x
  2. Step 2: Convert to fraction form
    414,912.80/620,986.80 = 365,146.40/x
  3. Step 3: Cross multiply
    414,912.80x = 620,986.80 × 365,146.40
  4. Step 4: Simplify right side
    414,912.80x = 226,751,094,467.52
  5. Step 5: Solve for x
    x = 226,751,094,467.52/414,912.80
  6. Step 6: Final answer
    x = 546,503.01

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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.