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Finding the Fourth Proportional to 208,583.34, 310,191.60 and 201,940.38

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Solution

The fourth proportional to 208,583.34, 310,191.60 and 201,940.38 is: 300,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,583.34 : 310,191.60 = 201,940.38 : x
  2. Step 2: Convert to fraction form
    208,583.34/310,191.60 = 201,940.38/x
  3. Step 3: Cross multiply
    208,583.34x = 310,191.60 × 201,940.38
  4. Step 4: Simplify right side
    208,583.34x = 62,640,209,576.81
  5. Step 5: Solve for x
    x = 62,640,209,576.81/208,583.34
  6. Step 6: Final answer
    x = 300,312.62

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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.