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Finding the Fourth Proportional to 319,043.84, 440,250.42 and 188,201.10

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Solution

The fourth proportional to 319,043.84, 440,250.42 and 188,201.10 is: 259,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,043.84 : 440,250.42 = 188,201.10 : x
  2. Step 2: Convert to fraction form
    319,043.84/440,250.42 = 188,201.10/x
  3. Step 3: Cross multiply
    319,043.84x = 440,250.42 × 188,201.10
  4. Step 4: Simplify right side
    319,043.84x = 82,855,613,319.46
  5. Step 5: Solve for x
    x = 82,855,613,319.46/319,043.84
  6. Step 6: Final answer
    x = 259,699.77

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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.