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Finding the Fourth Proportional to 256,515.56, 384,860.82 and 138,199.04

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Solution

The fourth proportional to 256,515.56, 384,860.82 and 138,199.04 is: 207,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,515.56 : 384,860.82 = 138,199.04 : x
  2. Step 2: Convert to fraction form
    256,515.56/384,860.82 = 138,199.04/x
  3. Step 3: Cross multiply
    256,515.56x = 384,860.82 × 138,199.04
  4. Step 4: Simplify right side
    256,515.56x = 53,187,395,857.61
  5. Step 5: Solve for x
    x = 53,187,395,857.61/256,515.56
  6. Step 6: Final answer
    x = 207,345.69

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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.