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Finding the Fourth Proportional to 256,407.85, 384,612.06 and 66,868.09

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Solution

The fourth proportional to 256,407.85, 384,612.06 and 66,868.09 is: 100,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407.85 : 384,612.06 = 66,868.09 : x
  2. Step 2: Convert to fraction form
    256,407.85/384,612.06 = 66,868.09/x
  3. Step 3: Cross multiply
    256,407.85x = 384,612.06 × 66,868.09
  4. Step 4: Simplify right side
    256,407.85x = 25,718,273,843.17
  5. Step 5: Solve for x
    x = 25,718,273,843.17/256,407.85
  6. Step 6: Final answer
    x = 100,302.21

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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.