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Finding the Fourth Proportional to 385,243.87, 531,626.31 and 213,157.35

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Solution

The fourth proportional to 385,243.87, 531,626.31 and 213,157.35 is: 294,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,243.87 : 531,626.31 = 213,157.35 : x
  2. Step 2: Convert to fraction form
    385,243.87/531,626.31 = 213,157.35/x
  3. Step 3: Cross multiply
    385,243.87x = 531,626.31 × 213,157.35
  4. Step 4: Simplify right side
    385,243.87x = 113,320,055,429.88
  5. Step 5: Solve for x
    x = 113,320,055,429.88/385,243.87
  6. Step 6: Final answer
    x = 294,151.48

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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.