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Finding the Fourth Proportional to 221,065.88, 304,371.47 and 200,862.32

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Solution

The fourth proportional to 221,065.88, 304,371.47 and 200,862.32 is: 276,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,065.88 : 304,371.47 = 200,862.32 : x
  2. Step 2: Convert to fraction form
    221,065.88/304,371.47 = 200,862.32/x
  3. Step 3: Cross multiply
    221,065.88x = 304,371.47 × 200,862.32
  4. Step 4: Simplify right side
    221,065.88x = 61,136,758,586.31
  5. Step 5: Solve for x
    x = 61,136,758,586.31/221,065.88
  6. Step 6: Final answer
    x = 276,554.48

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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.