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Finding the Fourth Proportional to 257,081.76, 385,120.44 and 177,105.60

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Solution

The fourth proportional to 257,081.76, 385,120.44 and 177,105.60 is: 265,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.76 : 385,120.44 = 177,105.60 : x
  2. Step 2: Convert to fraction form
    257,081.76/385,120.44 = 177,105.60/x
  3. Step 3: Cross multiply
    257,081.76x = 385,120.44 × 177,105.60
  4. Step 4: Simplify right side
    257,081.76x = 68,206,986,598.46
  5. Step 5: Solve for x
    x = 68,206,986,598.46/257,081.76
  6. Step 6: Final answer
    x = 265,312.43

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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.