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Finding the Fourth Proportional to 256,580.70, 384,287.85 and 131,775.90

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Solution

The fourth proportional to 256,580.70, 384,287.85 and 131,775.90 is: 197,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,580.70 : 384,287.85 = 131,775.90 : x
  2. Step 2: Convert to fraction form
    256,580.70/384,287.85 = 131,775.90/x
  3. Step 3: Cross multiply
    256,580.70x = 384,287.85 × 131,775.90
  4. Step 4: Simplify right side
    256,580.70x = 50,639,877,292.82
  5. Step 5: Solve for x
    x = 50,639,877,292.82/256,580.70
  6. Step 6: Final answer
    x = 197,364.33

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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.