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Finding the Fourth Proportional to 256,507.84, 384,768.32 and 121,540.24

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Solution

The fourth proportional to 256,507.84, 384,768.32 and 121,540.24 is: 182,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,507.84 : 384,768.32 = 121,540.24 : x
  2. Step 2: Convert to fraction form
    256,507.84/384,768.32 = 121,540.24/x
  3. Step 3: Cross multiply
    256,507.84x = 384,768.32 × 121,540.24
  4. Step 4: Simplify right side
    256,507.84x = 46,764,833,957.20
  5. Step 5: Solve for x
    x = 46,764,833,957.20/256,507.84
  6. Step 6: Final answer
    x = 182,313.47

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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.