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Finding the Fourth Proportional to 208,048.40, 312,072.60 and 205,974.80

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Solution

The fourth proportional to 208,048.40, 312,072.60 and 205,974.80 is: 308,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.40 : 312,072.60 = 205,974.80 : x
  2. Step 2: Convert to fraction form
    208,048.40/312,072.60 = 205,974.80/x
  3. Step 3: Cross multiply
    208,048.40x = 312,072.60 × 205,974.80
  4. Step 4: Simplify right side
    208,048.40x = 64,279,091,370.48
  5. Step 5: Solve for x
    x = 64,279,091,370.48/208,048.40
  6. Step 6: Final answer
    x = 308,962.20

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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.