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Finding the Fourth Proportional to 311,430, 429,774 and 177,294

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Solution

The fourth proportional to 311,430, 429,774 and 177,294 is: 244,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430 : 429,774 = 177,294 : x
  2. Step 2: Convert to fraction form
    311,430/429,774 = 177,294/x
  3. Step 3: Cross multiply
    311,430x = 429,774 × 177,294
  4. Step 4: Simplify right side
    311,430x = 76,196,351,556
  5. Step 5: Solve for x
    x = 76,196,351,556/311,430
  6. Step 6: Final answer
    x = 244,666.06

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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.