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Finding the Fourth Proportional to 311,179, 429,401.50 and 175,169.48

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Solution

The fourth proportional to 311,179, 429,401.50 and 175,169.48 is: 241,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,179 : 429,401.50 = 175,169.48 : x
  2. Step 2: Convert to fraction form
    311,179/429,401.50 = 175,169.48/x
  3. Step 3: Cross multiply
    311,179x = 429,401.50 × 175,169.48
  4. Step 4: Simplify right side
    311,179x = 75,218,037,466.22
  5. Step 5: Solve for x
    x = 75,218,037,466.22/311,179
  6. Step 6: Final answer
    x = 241,719.52

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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.