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Finding the Fourth Proportional to 320,438.08, 480,684.42 and 83,780.38

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Solution

The fourth proportional to 320,438.08, 480,684.42 and 83,780.38 is: 125,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.08 : 480,684.42 = 83,780.38 : x
  2. Step 2: Convert to fraction form
    320,438.08/480,684.42 = 83,780.38/x
  3. Step 3: Cross multiply
    320,438.08x = 480,684.42 × 83,780.38
  4. Step 4: Simplify right side
    320,438.08x = 40,271,923,367.68
  5. Step 5: Solve for x
    x = 40,271,923,367.68/320,438.08
  6. Step 6: Final answer
    x = 125,677.71

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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.