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Finding the Fourth Proportional to 311,185.98, 467,208.90 and 214,897.32

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Solution

The fourth proportional to 311,185.98, 467,208.90 and 214,897.32 is: 322,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,185.98 : 467,208.90 = 214,897.32 : x
  2. Step 2: Convert to fraction form
    311,185.98/467,208.90 = 214,897.32/x
  3. Step 3: Cross multiply
    311,185.98x = 467,208.90 × 214,897.32
  4. Step 4: Simplify right side
    311,185.98x = 100,401,940,490.15
  5. Step 5: Solve for x
    x = 100,401,940,490.15/311,185.98
  6. Step 6: Final answer
    x = 322,642.88

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1.5x scale

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.