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Finding the Fourth Proportional to 385,494.42, 531,735.48 and 309,196.62

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Solution

The fourth proportional to 385,494.42, 531,735.48 and 309,196.62 is: 426,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,494.42 : 531,735.48 = 309,196.62 : x
  2. Step 2: Convert to fraction form
    385,494.42/531,735.48 = 309,196.62/x
  3. Step 3: Cross multiply
    385,494.42x = 531,735.48 × 309,196.62
  4. Step 4: Simplify right side
    385,494.42x = 164,410,813,150.08
  5. Step 5: Solve for x
    x = 164,410,813,150.08/385,494.42
  6. Step 6: Final answer
    x = 426,493.37

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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.