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Finding the Fourth Proportional to 256,483.25, 353,947.02 and 143,306

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Solution

The fourth proportional to 256,483.25, 353,947.02 and 143,306 is: 197,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,483.25 : 353,947.02 = 143,306 : x
  2. Step 2: Convert to fraction form
    256,483.25/353,947.02 = 143,306/x
  3. Step 3: Cross multiply
    256,483.25x = 353,947.02 × 143,306
  4. Step 4: Simplify right side
    256,483.25x = 50,722,731,648.12
  5. Step 5: Solve for x
    x = 50,722,731,648.12/256,483.25
  6. Step 6: Final answer
    x = 197,762.36

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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.