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Finding the Fourth Proportional to 256,196.85, 384,529.65 and 129,924.25

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Solution

The fourth proportional to 256,196.85, 384,529.65 and 129,924.25 is: 195,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,196.85 : 384,529.65 = 129,924.25 : x
  2. Step 2: Convert to fraction form
    256,196.85/384,529.65 = 129,924.25/x
  3. Step 3: Cross multiply
    256,196.85x = 384,529.65 × 129,924.25
  4. Step 4: Simplify right side
    256,196.85x = 49,959,726,379.01
  5. Step 5: Solve for x
    x = 49,959,726,379.01/256,196.85
  6. Step 6: Final answer
    x = 195,005.23

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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.