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Finding the Fourth Proportional to 313,768, 433,000.48 and 172,456

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Solution

The fourth proportional to 313,768, 433,000.48 and 172,456 is: 237,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,768 : 433,000.48 = 172,456 : x
  2. Step 2: Convert to fraction form
    313,768/433,000.48 = 172,456/x
  3. Step 3: Cross multiply
    313,768x = 433,000.48 × 172,456
  4. Step 4: Simplify right side
    313,768x = 74,673,530,778.88
  5. Step 5: Solve for x
    x = 74,673,530,778.88/313,768
  6. Step 6: Final answer
    x = 237,989.63

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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.