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Finding the Fourth Proportional to 408,676.38, 563,967.99 and 229,828.38

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Solution

The fourth proportional to 408,676.38, 563,967.99 and 229,828.38 is: 317,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,676.38 : 563,967.99 = 229,828.38 : x
  2. Step 2: Convert to fraction form
    408,676.38/563,967.99 = 229,828.38/x
  3. Step 3: Cross multiply
    408,676.38x = 563,967.99 × 229,828.38
  4. Step 4: Simplify right side
    408,676.38x = 129,615,849,513.56
  5. Step 5: Solve for x
    x = 129,615,849,513.56/408,676.38
  6. Step 6: Final answer
    x = 317,160.12

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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.