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Finding the Fourth Proportional to 256,281.76, 384,424.26 and 168,095.44

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Solution

The fourth proportional to 256,281.76, 384,424.26 and 168,095.44 is: 252,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,281.76 : 384,424.26 = 168,095.44 : x
  2. Step 2: Convert to fraction form
    256,281.76/384,424.26 = 168,095.44/x
  3. Step 3: Cross multiply
    256,281.76x = 384,424.26 × 168,095.44
  4. Step 4: Simplify right side
    256,281.76x = 64,619,965,131.37
  5. Step 5: Solve for x
    x = 64,619,965,131.37/256,281.76
  6. Step 6: Final answer
    x = 252,144.22

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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.