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Finding the Fourth Proportional to 519,647.39, 717,105.82 and 290,202.24

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Solution

The fourth proportional to 519,647.39, 717,105.82 and 290,202.24 is: 400,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,647.39 : 717,105.82 = 290,202.24 : x
  2. Step 2: Convert to fraction form
    519,647.39/717,105.82 = 290,202.24/x
  3. Step 3: Cross multiply
    519,647.39x = 717,105.82 × 290,202.24
  4. Step 4: Simplify right side
    519,647.39x = 208,105,717,788.81
  5. Step 5: Solve for x
    x = 208,105,717,788.81/519,647.39
  6. Step 6: Final answer
    x = 400,474.86

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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.