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Finding the Fourth Proportional to 286,704.72, 429,882.12 and 118,172.88

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Solution

The fourth proportional to 286,704.72, 429,882.12 and 118,172.88 is: 177,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,704.72 : 429,882.12 = 118,172.88 : x
  2. Step 2: Convert to fraction form
    286,704.72/429,882.12 = 118,172.88/x
  3. Step 3: Cross multiply
    286,704.72x = 429,882.12 × 118,172.88
  4. Step 4: Simplify right side
    286,704.72x = 50,800,408,180.91
  5. Step 5: Solve for x
    x = 50,800,408,180.91/286,704.72
  6. Step 6: Final answer
    x = 177,187.21

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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.