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Finding the Fourth Proportional to 370,574.37, 511,392.89 and 200,808.50

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Solution

The fourth proportional to 370,574.37, 511,392.89 and 200,808.50 is: 277,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,574.37 : 511,392.89 = 200,808.50 : x
  2. Step 2: Convert to fraction form
    370,574.37/511,392.89 = 200,808.50/x
  3. Step 3: Cross multiply
    370,574.37x = 511,392.89 × 200,808.50
  4. Step 4: Simplify right side
    370,574.37x = 102,692,037,096.62
  5. Step 5: Solve for x
    x = 102,692,037,096.62/370,574.37
  6. Step 6: Final answer
    x = 277,115.87

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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.