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Finding the Fourth Proportional to 256,024.80, 353,289.60 and 142,819.20

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Solution

The fourth proportional to 256,024.80, 353,289.60 and 142,819.20 is: 197,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.80 : 353,289.60 = 142,819.20 : x
  2. Step 2: Convert to fraction form
    256,024.80/353,289.60 = 142,819.20/x
  3. Step 3: Cross multiply
    256,024.80x = 353,289.60 × 142,819.20
  4. Step 4: Simplify right side
    256,024.80x = 50,456,538,040.32
  5. Step 5: Solve for x
    x = 50,456,538,040.32/256,024.80
  6. Step 6: Final answer
    x = 197,076.76

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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.