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Finding the Fourth Proportional to 256,658.49, 384,859.23 and 79,142.43

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Solution

The fourth proportional to 256,658.49, 384,859.23 and 79,142.43 is: 118,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,658.49 : 384,859.23 = 79,142.43 : x
  2. Step 2: Convert to fraction form
    256,658.49/384,859.23 = 79,142.43/x
  3. Step 3: Cross multiply
    256,658.49x = 384,859.23 × 79,142.43
  4. Step 4: Simplify right side
    256,658.49x = 30,458,694,670.13
  5. Step 5: Solve for x
    x = 30,458,694,670.13/256,658.49
  6. Step 6: Final answer
    x = 118,674.02

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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.