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Finding the Fourth Proportional to 256,092.48, 353,407.68 and 142,912.80

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Solution

The fourth proportional to 256,092.48, 353,407.68 and 142,912.80 is: 197,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,092.48 : 353,407.68 = 142,912.80 : x
  2. Step 2: Convert to fraction form
    256,092.48/353,407.68 = 142,912.80/x
  3. Step 3: Cross multiply
    256,092.48x = 353,407.68 × 142,912.80
  4. Step 4: Simplify right side
    256,092.48x = 50,506,481,090.30
  5. Step 5: Solve for x
    x = 50,506,481,090.30/256,092.48
  6. Step 6: Final answer
    x = 197,219.70

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1.5x scale

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.