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Finding the Fourth Proportional to 256,337.82, 384,515.96 and 96,399.09

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Solution

The fourth proportional to 256,337.82, 384,515.96 and 96,399.09 is: 144,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,337.82 : 384,515.96 = 96,399.09 : x
  2. Step 2: Convert to fraction form
    256,337.82/384,515.96 = 96,399.09/x
  3. Step 3: Cross multiply
    256,337.82x = 384,515.96 × 96,399.09
  4. Step 4: Simplify right side
    256,337.82x = 37,066,988,634.48
  5. Step 5: Solve for x
    x = 37,066,988,634.48/256,337.82
  6. Step 6: Final answer
    x = 144,602.11

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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.