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Finding the Fourth Proportional to 256,722.96, 385,250.09 and 138,476.73

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Solution

The fourth proportional to 256,722.96, 385,250.09 and 138,476.73 is: 207,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.96 : 385,250.09 = 138,476.73 : x
  2. Step 2: Convert to fraction form
    256,722.96/385,250.09 = 138,476.73/x
  3. Step 3: Cross multiply
    256,722.96x = 385,250.09 × 138,476.73
  4. Step 4: Simplify right side
    256,722.96x = 53,348,172,003.02
  5. Step 5: Solve for x
    x = 53,348,172,003.02/256,722.96
  6. Step 6: Final answer
    x = 207,804.44

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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.