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Finding the Fourth Proportional to 370,485.72, 511,270.80 and 200,719.86

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Solution

The fourth proportional to 370,485.72, 511,270.80 and 200,719.86 is: 276,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,485.72 : 511,270.80 = 200,719.86 : x
  2. Step 2: Convert to fraction form
    370,485.72/511,270.80 = 200,719.86/x
  3. Step 3: Cross multiply
    370,485.72x = 511,270.80 × 200,719.86
  4. Step 4: Simplify right side
    370,485.72x = 102,622,203,398.09
  5. Step 5: Solve for x
    x = 102,622,203,398.09/370,485.72
  6. Step 6: Final answer
    x = 276,993.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.