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Finding the Fourth Proportional to 519,884.37, 717,414.80 and 290,396.08

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Solution

The fourth proportional to 519,884.37, 717,414.80 and 290,396.08 is: 400,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,884.37 : 717,414.80 = 290,396.08 : x
  2. Step 2: Convert to fraction form
    519,884.37/717,414.80 = 290,396.08/x
  3. Step 3: Cross multiply
    519,884.37x = 717,414.80 × 290,396.08
  4. Step 4: Simplify right side
    519,884.37x = 208,334,442,408.47
  5. Step 5: Solve for x
    x = 208,334,442,408.47/519,884.37
  6. Step 6: Final answer
    x = 400,732.27

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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.