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Finding the Fourth Proportional to 370,755.70, 511,644 and 200,989.96

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Solution

The fourth proportional to 370,755.70, 511,644 and 200,989.96 is: 277,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,755.70 : 511,644 = 200,989.96 : x
  2. Step 2: Convert to fraction form
    370,755.70/511,644 = 200,989.96/x
  3. Step 3: Cross multiply
    370,755.70x = 511,644 × 200,989.96
  4. Step 4: Simplify right side
    370,755.70x = 102,835,307,094.24
  5. Step 5: Solve for x
    x = 102,835,307,094.24/370,755.70
  6. Step 6: Final answer
    x = 277,366.76

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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.