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Finding the Fourth Proportional to 385,456.57, 531,923.63 and 213,370.90

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Solution

The fourth proportional to 385,456.57, 531,923.63 and 213,370.90 is: 294,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,456.57 : 531,923.63 = 213,370.90 : x
  2. Step 2: Convert to fraction form
    385,456.57/531,923.63 = 213,370.90/x
  3. Step 3: Cross multiply
    385,456.57x = 531,923.63 × 213,370.90
  4. Step 4: Simplify right side
    385,456.57x = 113,497,023,664.37
  5. Step 5: Solve for x
    x = 113,497,023,664.37/385,456.57
  6. Step 6: Final answer
    x = 294,448.28

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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.