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Finding the Fourth Proportional to 322,951.41, 445,420.49 and 209,810.61

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Solution

The fourth proportional to 322,951.41, 445,420.49 and 209,810.61 is: 289,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,951.41 : 445,420.49 = 209,810.61 : x
  2. Step 2: Convert to fraction form
    322,951.41/445,420.49 = 209,810.61/x
  3. Step 3: Cross multiply
    322,951.41x = 445,420.49 × 209,810.61
  4. Step 4: Simplify right side
    322,951.41x = 93,453,943,664.35
  5. Step 5: Solve for x
    x = 93,453,943,664.35/322,951.41
  6. Step 6: Final answer
    x = 289,374.63

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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.