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Finding the Fourth Proportional to 370,378.09, 511,119.07 and 200,611

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Solution

The fourth proportional to 370,378.09, 511,119.07 and 200,611 is: 276,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,378.09 : 511,119.07 = 200,611 : x
  2. Step 2: Convert to fraction form
    370,378.09/511,119.07 = 200,611/x
  3. Step 3: Cross multiply
    370,378.09x = 511,119.07 × 200,611
  4. Step 4: Simplify right side
    370,378.09x = 102,536,107,751.77
  5. Step 5: Solve for x
    x = 102,536,107,751.77/370,378.09
  6. Step 6: Final answer
    x = 276,841.72

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1.5x scale

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.