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Finding the Fourth Proportional to 370,428.84, 511,193.16 and 200,662.56

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Solution

The fourth proportional to 370,428.84, 511,193.16 and 200,662.56 is: 276,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,428.84 : 511,193.16 = 200,662.56 : x
  2. Step 2: Convert to fraction form
    370,428.84/511,193.16 = 200,662.56/x
  3. Step 3: Cross multiply
    370,428.84x = 511,193.16 × 200,662.56
  4. Step 4: Simplify right side
    370,428.84x = 102,577,328,140.09
  5. Step 5: Solve for x
    x = 102,577,328,140.09/370,428.84
  6. Step 6: Final answer
    x = 276,915.07

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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.