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Finding the Fourth Proportional to 256,000.48, 353,281.68 and 142,828

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Solution

The fourth proportional to 256,000.48, 353,281.68 and 142,828 is: 197,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.48 : 353,281.68 = 142,828 : x
  2. Step 2: Convert to fraction form
    256,000.48/353,281.68 = 142,828/x
  3. Step 3: Cross multiply
    256,000.48x = 353,281.68 × 142,828
  4. Step 4: Simplify right side
    256,000.48x = 50,458,515,791.04
  5. Step 5: Solve for x
    x = 50,458,515,791.04/256,000.48
  6. Step 6: Final answer
    x = 197,103.21

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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.