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Finding the Fourth Proportional to 256,283.76, 384,427.26 and 168,097.44

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Solution

The fourth proportional to 256,283.76, 384,427.26 and 168,097.44 is: 252,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,283.76 : 384,427.26 = 168,097.44 : x
  2. Step 2: Convert to fraction form
    256,283.76/384,427.26 = 168,097.44/x
  3. Step 3: Cross multiply
    256,283.76x = 384,427.26 × 168,097.44
  4. Step 4: Simplify right side
    256,283.76x = 64,621,238,272.21
  5. Step 5: Solve for x
    x = 64,621,238,272.21/256,283.76
  6. Step 6: Final answer
    x = 252,147.22

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1.5x scale

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.