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Finding the Fourth Proportional to 256,037.09, 353,330.91 and 142,859.84

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Solution

The fourth proportional to 256,037.09, 353,330.91 and 142,859.84 is: 197,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,037.09 : 353,330.91 = 142,859.84 : x
  2. Step 2: Convert to fraction form
    256,037.09/353,330.91 = 142,859.84/x
  3. Step 3: Cross multiply
    256,037.09x = 353,330.91 × 142,859.84
  4. Step 4: Simplify right side
    256,037.09x = 50,476,795,503.00
  5. Step 5: Solve for x
    x = 50,476,795,503.00/256,037.09
  6. Step 6: Final answer
    x = 197,146.42

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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.