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Finding the Fourth Proportional to 408,822, 564,183 and 229,974

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Solution

The fourth proportional to 408,822, 564,183 and 229,974 is: 317,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,822 : 564,183 = 229,974 : x
  2. Step 2: Convert to fraction form
    408,822/564,183 = 229,974/x
  3. Step 3: Cross multiply
    408,822x = 564,183 × 229,974
  4. Step 4: Simplify right side
    408,822x = 129,747,421,242
  5. Step 5: Solve for x
    x = 129,747,421,242/408,822
  6. Step 6: Final answer
    x = 317,368.98

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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.