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Finding the Fourth Proportional to 256,543.92, 354,031.92 and 143,368.56

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Solution

The fourth proportional to 256,543.92, 354,031.92 and 143,368.56 is: 197,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543.92 : 354,031.92 = 143,368.56 : x
  2. Step 2: Convert to fraction form
    256,543.92/354,031.92 = 143,368.56/x
  3. Step 3: Cross multiply
    256,543.92x = 354,031.92 × 143,368.56
  4. Step 4: Simplify right side
    256,543.92x = 50,757,046,564.44
  5. Step 5: Solve for x
    x = 50,757,046,564.44/256,543.92
  6. Step 6: Final answer
    x = 197,849.35

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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.