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Finding the Fourth Proportional to 621,085.80, 931,825.56 and 221,718

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Solution

The fourth proportional to 621,085.80, 931,825.56 and 221,718 is: 332,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,085.80 : 931,825.56 = 221,718 : x
  2. Step 2: Convert to fraction form
    621,085.80/931,825.56 = 221,718/x
  3. Step 3: Cross multiply
    621,085.80x = 931,825.56 × 221,718
  4. Step 4: Simplify right side
    621,085.80x = 206,602,499,512.08
  5. Step 5: Solve for x
    x = 206,602,499,512.08/621,085.80
  6. Step 6: Final answer
    x = 332,647.28

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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.