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Finding the Fourth Proportional to 540,399, 810,614.96 and 185,408.04

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Solution

The fourth proportional to 540,399, 810,614.96 and 185,408.04 is: 278,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,399 : 810,614.96 = 185,408.04 : x
  2. Step 2: Convert to fraction form
    540,399/810,614.96 = 185,408.04/x
  3. Step 3: Cross multiply
    540,399x = 810,614.96 × 185,408.04
  4. Step 4: Simplify right side
    540,399x = 150,294,530,928.28
  5. Step 5: Solve for x
    x = 150,294,530,928.28/540,399
  6. Step 6: Final answer
    x = 278,117.71

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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.