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Finding the Fourth Proportional to 256,858.61, 354,455.71 and 142,135.27

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Solution

The fourth proportional to 256,858.61, 354,455.71 and 142,135.27 is: 196,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,858.61 : 354,455.71 = 142,135.27 : x
  2. Step 2: Convert to fraction form
    256,858.61/354,455.71 = 142,135.27/x
  3. Step 3: Cross multiply
    256,858.61x = 354,455.71 × 142,135.27
  4. Step 4: Simplify right side
    256,858.61x = 50,380,658,043.89
  5. Step 5: Solve for x
    x = 50,380,658,043.89/256,858.61
  6. Step 6: Final answer
    x = 196,141.60

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1.5x scale

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.