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Finding the Fourth Proportional to 370,485.19, 511,271.70 and 200,719.32

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Solution

The fourth proportional to 370,485.19, 511,271.70 and 200,719.32 is: 276,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,485.19 : 511,271.70 = 200,719.32 : x
  2. Step 2: Convert to fraction form
    370,485.19/511,271.70 = 200,719.32/x
  3. Step 3: Cross multiply
    370,485.19x = 511,271.70 × 200,719.32
  4. Step 4: Simplify right side
    370,485.19x = 102,622,105,289.28
  5. Step 5: Solve for x
    x = 102,622,105,289.28/370,485.19
  6. Step 6: Final answer
    x = 276,993.81

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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.