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Finding the Fourth Proportional to 519,912.47, 717,466.01 and 290,471.49

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Solution

The fourth proportional to 519,912.47, 717,466.01 and 290,471.49 is: 400,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,912.47 : 717,466.01 = 290,471.49 : x
  2. Step 2: Convert to fraction form
    519,912.47/717,466.01 = 290,471.49/x
  3. Step 3: Cross multiply
    519,912.47x = 717,466.01 × 290,471.49
  4. Step 4: Simplify right side
    519,912.47x = 208,403,419,496.70
  5. Step 5: Solve for x
    x = 208,403,419,496.70/519,912.47
  6. Step 6: Final answer
    x = 400,843.28

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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.