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Finding the Fourth Proportional to 371,601.78, 512,813.16 and 201,835.98

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Solution

The fourth proportional to 371,601.78, 512,813.16 and 201,835.98 is: 278,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,601.78 : 512,813.16 = 201,835.98 : x
  2. Step 2: Convert to fraction form
    371,601.78/512,813.16 = 201,835.98/x
  3. Step 3: Cross multiply
    371,601.78x = 512,813.16 × 201,835.98
  4. Step 4: Simplify right side
    371,601.78x = 103,504,146,705.50
  5. Step 5: Solve for x
    x = 103,504,146,705.50/371,601.78
  6. Step 6: Final answer
    x = 278,535.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.