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Finding the Fourth Proportional to 371,707.34, 512,954.78 and 201,939.98

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Solution

The fourth proportional to 371,707.34, 512,954.78 and 201,939.98 is: 278,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,707.34 : 512,954.78 = 201,939.98 : x
  2. Step 2: Convert to fraction form
    371,707.34/512,954.78 = 201,939.98/x
  3. Step 3: Cross multiply
    371,707.34x = 512,954.78 × 201,939.98
  4. Step 4: Simplify right side
    371,707.34x = 103,586,078,014.10
  5. Step 5: Solve for x
    x = 103,586,078,014.10/371,707.34
  6. Step 6: Final answer
    x = 278,676.44

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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.