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Finding the Fourth Proportional to 256,914.52, 384,873.09 and 189,323.89

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Solution

The fourth proportional to 256,914.52, 384,873.09 and 189,323.89 is: 283,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,914.52 : 384,873.09 = 189,323.89 : x
  2. Step 2: Convert to fraction form
    256,914.52/384,873.09 = 189,323.89/x
  3. Step 3: Cross multiply
    256,914.52x = 384,873.09 × 189,323.89
  4. Step 4: Simplify right side
    256,914.52x = 72,865,670,555.12
  5. Step 5: Solve for x
    x = 72,865,670,555.12/256,914.52
  6. Step 6: Final answer
    x = 283,618.34

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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.