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Finding the Fourth Proportional to 256,208.47, 384,105 and 106,560.79

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Solution

The fourth proportional to 256,208.47, 384,105 and 106,560.79 is: 159,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,208.47 : 384,105 = 106,560.79 : x
  2. Step 2: Convert to fraction form
    256,208.47/384,105 = 106,560.79/x
  3. Step 3: Cross multiply
    256,208.47x = 384,105 × 106,560.79
  4. Step 4: Simplify right side
    256,208.47x = 40,930,531,282.69
  5. Step 5: Solve for x
    x = 40,930,531,282.69/256,208.47
  6. Step 6: Final answer
    x = 159,754.80

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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.