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Finding the Fourth Proportional to 385,188.31, 531,575.53 and 213,103.31

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Solution

The fourth proportional to 385,188.31, 531,575.53 and 213,103.31 is: 294,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,188.31 : 531,575.53 = 213,103.31 : x
  2. Step 2: Convert to fraction form
    385,188.31/531,575.53 = 213,103.31/x
  3. Step 3: Cross multiply
    385,188.31x = 531,575.53 × 213,103.31
  4. Step 4: Simplify right side
    385,188.31x = 113,280,501,767.37
  5. Step 5: Solve for x
    x = 113,280,501,767.37/385,188.31
  6. Step 6: Final answer
    x = 294,091.22

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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.