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Finding the Fourth Proportional to 325,527.86, 449,384.13 and 216,813

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Solution

The fourth proportional to 325,527.86, 449,384.13 and 216,813 is: 299,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,527.86 : 449,384.13 = 216,813 : x
  2. Step 2: Convert to fraction form
    325,527.86/449,384.13 = 216,813/x
  3. Step 3: Cross multiply
    325,527.86x = 449,384.13 × 216,813
  4. Step 4: Simplify right side
    325,527.86x = 97,432,321,377.69
  5. Step 5: Solve for x
    x = 97,432,321,377.69/325,527.86
  6. Step 6: Final answer
    x = 299,305.64

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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.