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Finding the Fourth Proportional to 256,443.84, 384,631.13 and 66,917.51

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Solution

The fourth proportional to 256,443.84, 384,631.13 and 66,917.51 is: 100,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,443.84 : 384,631.13 = 66,917.51 : x
  2. Step 2: Convert to fraction form
    256,443.84/384,631.13 = 66,917.51/x
  3. Step 3: Cross multiply
    256,443.84x = 384,631.13 × 66,917.51
  4. Step 4: Simplify right side
    256,443.84x = 25,738,557,174.59
  5. Step 5: Solve for x
    x = 25,738,557,174.59/256,443.84
  6. Step 6: Final answer
    x = 100,367.23

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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.