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Finding the Fourth Proportional to 428,270.04, 590,745.24 and 275,507.64

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Solution

The fourth proportional to 428,270.04, 590,745.24 and 275,507.64 is: 380,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,270.04 : 590,745.24 = 275,507.64 : x
  2. Step 2: Convert to fraction form
    428,270.04/590,745.24 = 275,507.64/x
  3. Step 3: Cross multiply
    428,270.04x = 590,745.24 × 275,507.64
  4. Step 4: Simplify right side
    428,270.04x = 162,754,826,913.63
  5. Step 5: Solve for x
    x = 162,754,826,913.63/428,270.04
  6. Step 6: Final answer
    x = 380,028.51

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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.