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Finding the Fourth Proportional to 256,053.72, 353,520.60 and 229,150

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Solution

The fourth proportional to 256,053.72, 353,520.60 and 229,150 is: 316,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053.72 : 353,520.60 = 229,150 : x
  2. Step 2: Convert to fraction form
    256,053.72/353,520.60 = 229,150/x
  3. Step 3: Cross multiply
    256,053.72x = 353,520.60 × 229,150
  4. Step 4: Simplify right side
    256,053.72x = 81,009,245,490
  5. Step 5: Solve for x
    x = 81,009,245,490/256,053.72
  6. Step 6: Final answer
    x = 316,375.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.