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Finding the Fourth Proportional to 309,632.88, 464,009.87 and 129,524.20

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Solution

The fourth proportional to 309,632.88, 464,009.87 and 129,524.20 is: 194,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,632.88 : 464,009.87 = 129,524.20 : x
  2. Step 2: Convert to fraction form
    309,632.88/464,009.87 = 129,524.20/x
  3. Step 3: Cross multiply
    309,632.88x = 464,009.87 × 129,524.20
  4. Step 4: Simplify right side
    309,632.88x = 60,100,505,639.07
  5. Step 5: Solve for x
    x = 60,100,505,639.07/309,632.88
  6. Step 6: Final answer
    x = 194,102.47

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1.5x scale

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.