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Finding the Fourth Proportional to 275,215.51, 412,897.08 and 219,266.58

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Solution

The fourth proportional to 275,215.51, 412,897.08 and 219,266.58 is: 328,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,215.51 : 412,897.08 = 219,266.58 : x
  2. Step 2: Convert to fraction form
    275,215.51/412,897.08 = 219,266.58/x
  3. Step 3: Cross multiply
    275,215.51x = 412,897.08 × 219,266.58
  4. Step 4: Simplify right side
    275,215.51x = 90,534,530,623.59
  5. Step 5: Solve for x
    x = 90,534,530,623.59/275,215.51
  6. Step 6: Final answer
    x = 328,958.68

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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.