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Finding the Fourth Proportional to 370,467.09, 511,241.76 and 200,700

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Solution

The fourth proportional to 370,467.09, 511,241.76 and 200,700 is: 276,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,467.09 : 511,241.76 = 200,700 : x
  2. Step 2: Convert to fraction form
    370,467.09/511,241.76 = 200,700/x
  3. Step 3: Cross multiply
    370,467.09x = 511,241.76 × 200,700
  4. Step 4: Simplify right side
    370,467.09x = 102,606,221,232
  5. Step 5: Solve for x
    x = 102,606,221,232/370,467.09
  6. Step 6: Final answer
    x = 276,964.47

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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.