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Finding the Fourth Proportional to 256,515.76, 353,990.84 and 143,338.48

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Solution

The fourth proportional to 256,515.76, 353,990.84 and 143,338.48 is: 197,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,515.76 : 353,990.84 = 143,338.48 : x
  2. Step 2: Convert to fraction form
    256,515.76/353,990.84 = 143,338.48/x
  3. Step 3: Cross multiply
    256,515.76x = 353,990.84 × 143,338.48
  4. Step 4: Simplify right side
    256,515.76x = 50,740,508,939.52
  5. Step 5: Solve for x
    x = 50,740,508,939.52/256,515.76
  6. Step 6: Final answer
    x = 197,806.59

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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.