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Finding the Fourth Proportional to 303,465.38, 455,194.40 and 78,805.80

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Solution

The fourth proportional to 303,465.38, 455,194.40 and 78,805.80 is: 118,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,465.38 : 455,194.40 = 78,805.80 : x
  2. Step 2: Convert to fraction form
    303,465.38/455,194.40 = 78,805.80/x
  3. Step 3: Cross multiply
    303,465.38x = 455,194.40 × 78,805.80
  4. Step 4: Simplify right side
    303,465.38x = 35,871,958,847.52
  5. Step 5: Solve for x
    x = 35,871,958,847.52/303,465.38
  6. Step 6: Final answer
    x = 118,207.75

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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.