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Finding the Fourth Proportional to 256,765.34, 354,304.94 and 142,028.64

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Solution

The fourth proportional to 256,765.34, 354,304.94 and 142,028.64 is: 195,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,765.34 : 354,304.94 = 142,028.64 : x
  2. Step 2: Convert to fraction form
    256,765.34/354,304.94 = 142,028.64/x
  3. Step 3: Cross multiply
    256,765.34x = 354,304.94 × 142,028.64
  4. Step 4: Simplify right side
    256,765.34x = 50,321,448,063.34
  5. Step 5: Solve for x
    x = 50,321,448,063.34/256,765.34
  6. Step 6: Final answer
    x = 195,982.24

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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.