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Finding the Fourth Proportional to 371,308.29, 512,391.72 and 201,538.77

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Solution

The fourth proportional to 371,308.29, 512,391.72 and 201,538.77 is: 278,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,308.29 : 512,391.72 = 201,538.77 : x
  2. Step 2: Convert to fraction form
    371,308.29/512,391.72 = 201,538.77/x
  3. Step 3: Cross multiply
    371,308.29x = 512,391.72 × 201,538.77
  4. Step 4: Simplify right side
    371,308.29x = 103,266,797,006.98
  5. Step 5: Solve for x
    x = 103,266,797,006.98/371,308.29
  6. Step 6: Final answer
    x = 278,116.06

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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.