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Finding the Fourth Proportional to 256,709.84, 384,968.88 and 88,182.32

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Solution

The fourth proportional to 256,709.84, 384,968.88 and 88,182.32 is: 132,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,709.84 : 384,968.88 = 88,182.32 : x
  2. Step 2: Convert to fraction form
    256,709.84/384,968.88 = 88,182.32/x
  3. Step 3: Cross multiply
    256,709.84x = 384,968.88 × 88,182.32
  4. Step 4: Simplify right side
    256,709.84x = 33,947,448,966.20
  5. Step 5: Solve for x
    x = 33,947,448,966.20/256,709.84
  6. Step 6: Final answer
    x = 132,240.54

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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.