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Finding the Fourth Proportional to 486,016.40, 729,243.30 and 219,639.80

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Solution

The fourth proportional to 486,016.40, 729,243.30 and 219,639.80 is: 329,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,016.40 : 729,243.30 = 219,639.80 : x
  2. Step 2: Convert to fraction form
    486,016.40/729,243.30 = 219,639.80/x
  3. Step 3: Cross multiply
    486,016.40x = 729,243.30 × 219,639.80
  4. Step 4: Simplify right side
    486,016.40x = 160,170,852,563.34
  5. Step 5: Solve for x
    x = 160,170,852,563.34/486,016.40
  6. Step 6: Final answer
    x = 329,558.53

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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.