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Finding the Fourth Proportional to 370,761, 511,647.14 and 200,990.76

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Solution

The fourth proportional to 370,761, 511,647.14 and 200,990.76 is: 277,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,761 : 511,647.14 = 200,990.76 : x
  2. Step 2: Convert to fraction form
    370,761/511,647.14 = 200,990.76/x
  3. Step 3: Cross multiply
    370,761x = 511,647.14 × 200,990.76
  4. Step 4: Simplify right side
    370,761x = 102,836,347,520.43
  5. Step 5: Solve for x
    x = 102,836,347,520.43/370,761
  6. Step 6: Final answer
    x = 277,365.60

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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.