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Finding the Fourth Proportional to 385,509.70, 531,991.96 and 213,435.33

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Solution

The fourth proportional to 385,509.70, 531,991.96 and 213,435.33 is: 294,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,509.70 : 531,991.96 = 213,435.33 : x
  2. Step 2: Convert to fraction form
    385,509.70/531,991.96 = 213,435.33/x
  3. Step 3: Cross multiply
    385,509.70x = 531,991.96 × 213,435.33
  4. Step 4: Simplify right side
    385,509.70x = 113,545,879,539.95
  5. Step 5: Solve for x
    x = 113,545,879,539.95/385,509.70
  6. Step 6: Final answer
    x = 294,534.43

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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.