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Finding the Fourth Proportional to 311,771.58, 429,656.88 and 225,584.64

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Solution

The fourth proportional to 311,771.58, 429,656.88 and 225,584.64 is: 310,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,771.58 : 429,656.88 = 225,584.64 : x
  2. Step 2: Convert to fraction form
    311,771.58/429,656.88 = 225,584.64/x
  3. Step 3: Cross multiply
    311,771.58x = 429,656.88 × 225,584.64
  4. Step 4: Simplify right side
    311,771.58x = 96,923,992,598.32
  5. Step 5: Solve for x
    x = 96,923,992,598.32/311,771.58
  6. Step 6: Final answer
    x = 310,881.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.