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Finding the Fourth Proportional to 427,625.30, 590,082.84 and 255,509

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Solution

The fourth proportional to 427,625.30, 590,082.84 and 255,509 is: 352,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,625.30 : 590,082.84 = 255,509 : x
  2. Step 2: Convert to fraction form
    427,625.30/590,082.84 = 255,509/x
  3. Step 3: Cross multiply
    427,625.30x = 590,082.84 × 255,509
  4. Step 4: Simplify right side
    427,625.30x = 150,771,476,365.56
  5. Step 5: Solve for x
    x = 150,771,476,365.56/427,625.30
  6. Step 6: Final answer
    x = 352,578.48

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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.