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Finding the Fourth Proportional to 1,206,203, 1,810,133.94 and 418,235

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Solution

The fourth proportional to 1,206,203, 1,810,133.94 and 418,235 is: 627,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,203 : 1,810,133.94 = 418,235 : x
  2. Step 2: Convert to fraction form
    1,206,203/1,810,133.94 = 418,235/x
  3. Step 3: Cross multiply
    1,206,203x = 1,810,133.94 × 418,235
  4. Step 4: Simplify right side
    1,206,203x = 757,061,368,395.90
  5. Step 5: Solve for x
    x = 757,061,368,395.90/1,206,203
  6. Step 6: Final answer
    x = 627,640.10

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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.