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Finding the Fourth Proportional to 419,992.88, 579,577.54 and 229,010

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Solution

The fourth proportional to 419,992.88, 579,577.54 and 229,010 is: 316,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,992.88 : 579,577.54 = 229,010 : x
  2. Step 2: Convert to fraction form
    419,992.88/579,577.54 = 229,010/x
  3. Step 3: Cross multiply
    419,992.88x = 579,577.54 × 229,010
  4. Step 4: Simplify right side
    419,992.88x = 132,729,052,435.40
  5. Step 5: Solve for x
    x = 132,729,052,435.40/419,992.88
  6. Step 6: Final answer
    x = 316,026.91

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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.