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Finding the Fourth Proportional to 256,335.20, 384,891.60 and 197,237.60

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Solution

The fourth proportional to 256,335.20, 384,891.60 and 197,237.60 is: 296,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,335.20 : 384,891.60 = 197,237.60 : x
  2. Step 2: Convert to fraction form
    256,335.20/384,891.60 = 197,237.60/x
  3. Step 3: Cross multiply
    256,335.20x = 384,891.60 × 197,237.60
  4. Step 4: Simplify right side
    256,335.20x = 75,915,095,444.16
  5. Step 5: Solve for x
    x = 75,915,095,444.16/256,335.20
  6. Step 6: Final answer
    x = 296,155.56

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1.5x scale

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.