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Finding the Fourth Proportional to 256,464.50, 353,921.16 and 143,287.25

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Solution

The fourth proportional to 256,464.50, 353,921.16 and 143,287.25 is: 197,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,464.50 : 353,921.16 = 143,287.25 : x
  2. Step 2: Convert to fraction form
    256,464.50/353,921.16 = 143,287.25/x
  3. Step 3: Cross multiply
    256,464.50x = 353,921.16 × 143,287.25
  4. Step 4: Simplify right side
    256,464.50x = 50,712,389,733.21
  5. Step 5: Solve for x
    x = 50,712,389,733.21/256,464.50
  6. Step 6: Final answer
    x = 197,736.49

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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.