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Finding the Fourth Proportional to 256,500.80, 353,970.78 and 143,323.55

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Solution

The fourth proportional to 256,500.80, 353,970.78 and 143,323.55 is: 197,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500.80 : 353,970.78 = 143,323.55 : x
  2. Step 2: Convert to fraction form
    256,500.80/353,970.78 = 143,323.55/x
  3. Step 3: Cross multiply
    256,500.80x = 353,970.78 × 143,323.55
  4. Step 4: Simplify right side
    256,500.80x = 50,732,348,785.87
  5. Step 5: Solve for x
    x = 50,732,348,785.87/256,500.80
  6. Step 6: Final answer
    x = 197,786.32

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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.