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Finding the Fourth Proportional to 256,497.25, 353,966.22 and 143,320

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Solution

The fourth proportional to 256,497.25, 353,966.22 and 143,320 is: 197,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497.25 : 353,966.22 = 143,320 : x
  2. Step 2: Convert to fraction form
    256,497.25/353,966.22 = 143,320/x
  3. Step 3: Cross multiply
    256,497.25x = 353,966.22 × 143,320
  4. Step 4: Simplify right side
    256,497.25x = 50,730,438,650.40
  5. Step 5: Solve for x
    x = 50,730,438,650.40/256,497.25
  6. Step 6: Final answer
    x = 197,781.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.