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Finding the Fourth Proportional to 256,133.56, 384,101.80 and 177,007.88

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Solution

The fourth proportional to 256,133.56, 384,101.80 and 177,007.88 is: 265,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,133.56 : 384,101.80 = 177,007.88 : x
  2. Step 2: Convert to fraction form
    256,133.56/384,101.80 = 177,007.88/x
  3. Step 3: Cross multiply
    256,133.56x = 384,101.80 × 177,007.88
  4. Step 4: Simplify right side
    256,133.56x = 67,989,045,322.18
  5. Step 5: Solve for x
    x = 67,989,045,322.18/256,133.56
  6. Step 6: Final answer
    x = 265,443.72

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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.