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Finding the Fourth Proportional to 256,302.34, 384,464.19 and 87,938.47

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Solution

The fourth proportional to 256,302.34, 384,464.19 and 87,938.47 is: 131,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.34 : 384,464.19 = 87,938.47 : x
  2. Step 2: Convert to fraction form
    256,302.34/384,464.19 = 87,938.47/x
  3. Step 3: Cross multiply
    256,302.34x = 384,464.19 × 87,938.47
  4. Step 4: Simplify right side
    256,302.34x = 33,809,192,638.39
  5. Step 5: Solve for x
    x = 33,809,192,638.39/256,302.34
  6. Step 6: Final answer
    x = 131,911.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.