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Finding the Fourth Proportional to 492,603.26, 739,196.73 and 208,278.28

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Solution

The fourth proportional to 492,603.26, 739,196.73 and 208,278.28 is: 312,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,603.26 : 739,196.73 = 208,278.28 : x
  2. Step 2: Convert to fraction form
    492,603.26/739,196.73 = 208,278.28/x
  3. Step 3: Cross multiply
    492,603.26x = 739,196.73 × 208,278.28
  4. Step 4: Simplify right side
    492,603.26x = 153,958,621,658.03
  5. Step 5: Solve for x
    x = 153,958,621,658.03/492,603.26
  6. Step 6: Final answer
    x = 312,540.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.