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Finding the Fourth Proportional to 230,765.34, 318,456 and 130,163.34

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Solution

The fourth proportional to 230,765.34, 318,456 and 130,163.34 is: 179,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,765.34 : 318,456 = 130,163.34 : x
  2. Step 2: Convert to fraction form
    230,765.34/318,456 = 130,163.34/x
  3. Step 3: Cross multiply
    230,765.34x = 318,456 × 130,163.34
  4. Step 4: Simplify right side
    230,765.34x = 41,451,296,603.04
  5. Step 5: Solve for x
    x = 41,451,296,603.04/230,765.34
  6. Step 6: Final answer
    x = 179,625.31

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1.5x scale

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.