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Finding the Fourth Proportional to 420,456.40, 580,231.44 and 229,474

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Solution

The fourth proportional to 420,456.40, 580,231.44 and 229,474 is: 316,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,456.40 : 580,231.44 = 229,474 : x
  2. Step 2: Convert to fraction form
    420,456.40/580,231.44 = 229,474/x
  3. Step 3: Cross multiply
    420,456.40x = 580,231.44 × 229,474
  4. Step 4: Simplify right side
    420,456.40x = 133,148,029,462.56
  5. Step 5: Solve for x
    x = 133,148,029,462.56/420,456.40
  6. Step 6: Final answer
    x = 316,675.00

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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.