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Finding the Fourth Proportional to 208,034.90, 312,052.35 and 205,961.30

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Solution

The fourth proportional to 208,034.90, 312,052.35 and 205,961.30 is: 308,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034.90 : 312,052.35 = 205,961.30 : x
  2. Step 2: Convert to fraction form
    208,034.90/312,052.35 = 205,961.30/x
  3. Step 3: Cross multiply
    208,034.90x = 312,052.35 × 205,961.30
  4. Step 4: Simplify right side
    208,034.90x = 64,270,707,674.06
  5. Step 5: Solve for x
    x = 64,270,707,674.06/208,034.90
  6. Step 6: Final answer
    x = 308,941.95

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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.