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Finding the Fourth Proportional to 419,869, 579,626.08 and 290,905.26

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Solution

The fourth proportional to 419,869, 579,626.08 and 290,905.26 is: 401,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,869 : 579,626.08 = 290,905.26 : x
  2. Step 2: Convert to fraction form
    419,869/579,626.08 = 290,905.26/x
  3. Step 3: Cross multiply
    419,869x = 579,626.08 × 290,905.26
  4. Step 4: Simplify right side
    419,869x = 168,616,271,152.52
  5. Step 5: Solve for x
    x = 168,616,271,152.52/419,869
  6. Step 6: Final answer
    x = 401,592.57

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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.