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Finding the Fourth Proportional to 370,482.21, 511,267.89 and 200,716.34

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Solution

The fourth proportional to 370,482.21, 511,267.89 and 200,716.34 is: 276,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,482.21 : 511,267.89 = 200,716.34 : x
  2. Step 2: Convert to fraction form
    370,482.21/511,267.89 = 200,716.34/x
  3. Step 3: Cross multiply
    370,482.21x = 511,267.89 × 200,716.34
  4. Step 4: Simplify right side
    370,482.21x = 102,619,817,083.98
  5. Step 5: Solve for x
    x = 102,619,817,083.98/370,482.21
  6. Step 6: Final answer
    x = 276,989.86

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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.