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Finding the Fourth Proportional to 309,632.40, 427,297.14 and 231,970.44

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Solution

The fourth proportional to 309,632.40, 427,297.14 and 231,970.44 is: 320,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,632.40 : 427,297.14 = 231,970.44 : x
  2. Step 2: Convert to fraction form
    309,632.40/427,297.14 = 231,970.44/x
  3. Step 3: Cross multiply
    309,632.40x = 427,297.14 × 231,970.44
  4. Step 4: Simplify right side
    309,632.40x = 99,120,305,576.54
  5. Step 5: Solve for x
    x = 99,120,305,576.54/309,632.40
  6. Step 6: Final answer
    x = 320,122.52

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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.