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Finding the Fourth Proportional to 204,393, 306,606.78 and 56,649

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Solution

The fourth proportional to 204,393, 306,606.78 and 56,649 is: 84,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393 : 306,606.78 = 56,649 : x
  2. Step 2: Convert to fraction form
    204,393/306,606.78 = 56,649/x
  3. Step 3: Cross multiply
    204,393x = 306,606.78 × 56,649
  4. Step 4: Simplify right side
    204,393x = 17,368,967,480.22
  5. Step 5: Solve for x
    x = 17,368,967,480.22/204,393
  6. Step 6: Final answer
    x = 84,978.29

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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.