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Finding the Fourth Proportional to 214,908.88, 320,785.94 and 199,075

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Solution

The fourth proportional to 214,908.88, 320,785.94 and 199,075 is: 297,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.88 : 320,785.94 = 199,075 : x
  2. Step 2: Convert to fraction form
    214,908.88/320,785.94 = 199,075/x
  3. Step 3: Cross multiply
    214,908.88x = 320,785.94 × 199,075
  4. Step 4: Simplify right side
    214,908.88x = 63,860,461,005.50
  5. Step 5: Solve for x
    x = 63,860,461,005.50/214,908.88
  6. Step 6: Final answer
    x = 297,151.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.