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Finding the Fourth Proportional to 256,511.76, 353,985.32 and 143,334.48

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Solution

The fourth proportional to 256,511.76, 353,985.32 and 143,334.48 is: 197,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,511.76 : 353,985.32 = 143,334.48 : x
  2. Step 2: Convert to fraction form
    256,511.76/353,985.32 = 143,334.48/x
  3. Step 3: Cross multiply
    256,511.76x = 353,985.32 × 143,334.48
  4. Step 4: Simplify right side
    256,511.76x = 50,738,301,769.83
  5. Step 5: Solve for x
    x = 50,738,301,769.83/256,511.76
  6. Step 6: Final answer
    x = 197,801.07

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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.