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Finding the Fourth Proportional to 311,425.95, 429,767.82 and 168,186.03

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Solution

The fourth proportional to 311,425.95, 429,767.82 and 168,186.03 is: 232,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,425.95 : 429,767.82 = 168,186.03 : x
  2. Step 2: Convert to fraction form
    311,425.95/429,767.82 = 168,186.03/x
  3. Step 3: Cross multiply
    311,425.95x = 429,767.82 × 168,186.03
  4. Step 4: Simplify right side
    311,425.95x = 72,280,943,467.55
  5. Step 5: Solve for x
    x = 72,280,943,467.55/311,425.95
  6. Step 6: Final answer
    x = 232,096.73

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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.