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Finding the Fourth Proportional to 215,780.40, 323,816.40 and 75,540.24

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Solution

The fourth proportional to 215,780.40, 323,816.40 and 75,540.24 is: 113,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,780.40 : 323,816.40 = 75,540.24 : x
  2. Step 2: Convert to fraction form
    215,780.40/323,816.40 = 75,540.24/x
  3. Step 3: Cross multiply
    215,780.40x = 323,816.40 × 75,540.24
  4. Step 4: Simplify right side
    215,780.40x = 24,461,168,571.94
  5. Step 5: Solve for x
    x = 24,461,168,571.94/215,780.40
  6. Step 6: Final answer
    x = 113,361.40

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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.