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Finding the Fourth Proportional to 371,378.88, 512,509.12 and 201,613

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Solution

The fourth proportional to 371,378.88, 512,509.12 and 201,613 is: 278,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,378.88 : 512,509.12 = 201,613 : x
  2. Step 2: Convert to fraction form
    371,378.88/512,509.12 = 201,613/x
  3. Step 3: Cross multiply
    371,378.88x = 512,509.12 × 201,613
  4. Step 4: Simplify right side
    371,378.88x = 103,328,501,210.56
  5. Step 5: Solve for x
    x = 103,328,501,210.56/371,378.88
  6. Step 6: Final answer
    x = 278,229.34

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