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Finding the Fourth Proportional to 256,491.64, 353,959.50 and 149,124.52

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Solution

The fourth proportional to 256,491.64, 353,959.50 and 149,124.52 is: 205,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491.64 : 353,959.50 = 149,124.52 : x
  2. Step 2: Convert to fraction form
    256,491.64/353,959.50 = 149,124.52/x
  3. Step 3: Cross multiply
    256,491.64x = 353,959.50 × 149,124.52
  4. Step 4: Simplify right side
    256,491.64x = 52,784,040,536.94
  5. Step 5: Solve for x
    x = 52,784,040,536.94/256,491.64
  6. Step 6: Final answer
    x = 205,792.44

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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.