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Finding the Fourth Proportional to 428,498.56, 591,563.52 and 292,736.64

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Solution

The fourth proportional to 428,498.56, 591,563.52 and 292,736.64 is: 404,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,498.56 : 591,563.52 = 292,736.64 : x
  2. Step 2: Convert to fraction form
    428,498.56/591,563.52 = 292,736.64/x
  3. Step 3: Cross multiply
    428,498.56x = 591,563.52 × 292,736.64
  4. Step 4: Simplify right side
    428,498.56x = 173,172,317,191.37
  5. Step 5: Solve for x
    x = 173,172,317,191.37/428,498.56
  6. Step 6: Final answer
    x = 404,137.45

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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.