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Finding the Fourth Proportional to 283,670.40, 425,505.60 and 258,738.60

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Solution

The fourth proportional to 283,670.40, 425,505.60 and 258,738.60 is: 388,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,670.40 : 425,505.60 = 258,738.60 : x
  2. Step 2: Convert to fraction form
    283,670.40/425,505.60 = 258,738.60/x
  3. Step 3: Cross multiply
    283,670.40x = 425,505.60 × 258,738.60
  4. Step 4: Simplify right side
    283,670.40x = 110,094,723,236.16
  5. Step 5: Solve for x
    x = 110,094,723,236.16/283,670.40
  6. Step 6: Final answer
    x = 388,107.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.