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Finding the Fourth Proportional to 370,511.52, 511,305.72 and 200,745.64

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Solution

The fourth proportional to 370,511.52, 511,305.72 and 200,745.64 is: 277,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,511.52 : 511,305.72 = 200,745.64 : x
  2. Step 2: Convert to fraction form
    370,511.52/511,305.72 = 200,745.64/x
  3. Step 3: Cross multiply
    370,511.52x = 511,305.72 × 200,745.64
  4. Step 4: Simplify right side
    370,511.52x = 102,642,393,883.40
  5. Step 5: Solve for x
    x = 102,642,393,883.40/370,511.52
  6. Step 6: Final answer
    x = 277,028.89

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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.