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Finding the Fourth Proportional to 208,971.12, 311,254.71 and 204,597.12

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Solution

The fourth proportional to 208,971.12, 311,254.71 and 204,597.12 is: 304,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,971.12 : 311,254.71 = 204,597.12 : x
  2. Step 2: Convert to fraction form
    208,971.12/311,254.71 = 204,597.12/x
  3. Step 3: Cross multiply
    208,971.12x = 311,254.71 × 204,597.12
  4. Step 4: Simplify right side
    208,971.12x = 63,681,817,252.44
  5. Step 5: Solve for x
    x = 63,681,817,252.44/208,971.12
  6. Step 6: Final answer
    x = 304,739.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.