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Finding the Fourth Proportional to 386,324.64, 579,540.42 and 120,106.80

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Solution

The fourth proportional to 386,324.64, 579,540.42 and 120,106.80 is: 180,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,324.64 : 579,540.42 = 120,106.80 : x
  2. Step 2: Convert to fraction form
    386,324.64/579,540.42 = 120,106.80/x
  3. Step 3: Cross multiply
    386,324.64x = 579,540.42 × 120,106.80
  4. Step 4: Simplify right side
    386,324.64x = 69,606,745,316.86
  5. Step 5: Solve for x
    x = 69,606,745,316.86/386,324.64
  6. Step 6: Final answer
    x = 180,176.82

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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.