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Finding the Fourth Proportional to 370,476.30, 511,257.83 and 200,710.43

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Solution

The fourth proportional to 370,476.30, 511,257.83 and 200,710.43 is: 276,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,476.30 : 511,257.83 = 200,710.43 : x
  2. Step 2: Convert to fraction form
    370,476.30/511,257.83 = 200,710.43/x
  3. Step 3: Cross multiply
    370,476.30x = 511,257.83 × 200,710.43
  4. Step 4: Simplify right side
    370,476.30x = 102,614,775,340.33
  5. Step 5: Solve for x
    x = 102,614,775,340.33/370,476.30
  6. Step 6: Final answer
    x = 276,980.67

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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.