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Finding the Fourth Proportional to 638,616, 957,924 and 259,742.87

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Solution

The fourth proportional to 638,616, 957,924 and 259,742.87 is: 389,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,616 : 957,924 = 259,742.87 : x
  2. Step 2: Convert to fraction form
    638,616/957,924 = 259,742.87/x
  3. Step 3: Cross multiply
    638,616x = 957,924 × 259,742.87
  4. Step 4: Simplify right side
    638,616x = 248,813,924,212.26
  5. Step 5: Solve for x
    x = 248,813,924,212.26/638,616
  6. Step 6: Final answer
    x = 389,614.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.