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Finding the Fourth Proportional to 256,629.84, 354,152.76 and 154,761.60

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Solution

The fourth proportional to 256,629.84, 354,152.76 and 154,761.60 is: 213,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,629.84 : 354,152.76 = 154,761.60 : x
  2. Step 2: Convert to fraction form
    256,629.84/354,152.76 = 154,761.60/x
  3. Step 3: Cross multiply
    256,629.84x = 354,152.76 × 154,761.60
  4. Step 4: Simplify right side
    256,629.84x = 54,809,247,782.02
  5. Step 5: Solve for x
    x = 54,809,247,782.02/256,629.84
  6. Step 6: Final answer
    x = 213,573.17

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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.