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Finding the Fourth Proportional to 797,288, 1,195,936.32 and 206,312

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Solution

The fourth proportional to 797,288, 1,195,936.32 and 206,312 is: 309,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,288 : 1,195,936.32 = 206,312 : x
  2. Step 2: Convert to fraction form
    797,288/1,195,936.32 = 206,312/x
  3. Step 3: Cross multiply
    797,288x = 1,195,936.32 × 206,312
  4. Step 4: Simplify right side
    797,288x = 246,736,014,051.84
  5. Step 5: Solve for x
    x = 246,736,014,051.84/797,288
  6. Step 6: Final answer
    x = 309,469.12

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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.