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Finding the Fourth Proportional to 256,505.82, 353,977.29 and 143,328.66

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Solution

The fourth proportional to 256,505.82, 353,977.29 and 143,328.66 is: 197,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.82 : 353,977.29 = 143,328.66 : x
  2. Step 2: Convert to fraction form
    256,505.82/353,977.29 = 143,328.66/x
  3. Step 3: Cross multiply
    256,505.82x = 353,977.29 × 143,328.66
  4. Step 4: Simplify right side
    256,505.82x = 50,735,090,646.13
  5. Step 5: Solve for x
    x = 50,735,090,646.13/256,505.82
  6. Step 6: Final answer
    x = 197,793.14

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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.