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Finding the Fourth Proportional to 419,876.26, 579,636.08 and 290,912.50

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Solution

The fourth proportional to 419,876.26, 579,636.08 and 290,912.50 is: 401,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,876.26 : 579,636.08 = 290,912.50 : x
  2. Step 2: Convert to fraction form
    419,876.26/579,636.08 = 290,912.50/x
  3. Step 3: Cross multiply
    419,876.26x = 579,636.08 × 290,912.50
  4. Step 4: Simplify right side
    419,876.26x = 168,623,381,123
  5. Step 5: Solve for x
    x = 168,623,381,123/419,876.26
  6. Step 6: Final answer
    x = 401,602.56

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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.