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Finding the Fourth Proportional to 256,462.88, 353,918.92 and 143,285.63

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Solution

The fourth proportional to 256,462.88, 353,918.92 and 143,285.63 is: 197,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,462.88 : 353,918.92 = 143,285.63 : x
  2. Step 2: Convert to fraction form
    256,462.88/353,918.92 = 143,285.63/x
  3. Step 3: Cross multiply
    256,462.88x = 353,918.92 × 143,285.63
  4. Step 4: Simplify right side
    256,462.88x = 50,711,493,293.31
  5. Step 5: Solve for x
    x = 50,711,493,293.31/256,462.88
  6. Step 6: Final answer
    x = 197,734.25

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1.5x scale

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.