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Finding the Fourth Proportional to 323,828.40, 485,305.20 and 216,908.40

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Solution

The fourth proportional to 323,828.40, 485,305.20 and 216,908.40 is: 325,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,828.40 : 485,305.20 = 216,908.40 : x
  2. Step 2: Convert to fraction form
    323,828.40/485,305.20 = 216,908.40/x
  3. Step 3: Cross multiply
    323,828.40x = 485,305.20 × 216,908.40
  4. Step 4: Simplify right side
    323,828.40x = 105,266,774,443.68
  5. Step 5: Solve for x
    x = 105,266,774,443.68/323,828.40
  6. Step 6: Final answer
    x = 325,069.62

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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.