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Finding the Fourth Proportional to 256,908.50, 354,521.52 and 140,619.41

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Solution

The fourth proportional to 256,908.50, 354,521.52 and 140,619.41 is: 194,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,908.50 : 354,521.52 = 140,619.41 : x
  2. Step 2: Convert to fraction form
    256,908.50/354,521.52 = 140,619.41/x
  3. Step 3: Cross multiply
    256,908.50x = 354,521.52 × 140,619.41
  4. Step 4: Simplify right side
    256,908.50x = 49,852,606,531.55
  5. Step 5: Solve for x
    x = 49,852,606,531.55/256,908.50
  6. Step 6: Final answer
    x = 194,048.10

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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.