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Finding the Fourth Proportional to 414,538.40, 621,807.60 and 365,549.60

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Solution

The fourth proportional to 414,538.40, 621,807.60 and 365,549.60 is: 548,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538.40 : 621,807.60 = 365,549.60 : x
  2. Step 2: Convert to fraction form
    414,538.40/621,807.60 = 365,549.60/x
  3. Step 3: Cross multiply
    414,538.40x = 621,807.60 × 365,549.60
  4. Step 4: Simplify right side
    414,538.40x = 227,301,519,456.96
  5. Step 5: Solve for x
    x = 227,301,519,456.96/414,538.40
  6. Step 6: Final answer
    x = 548,324.40

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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.