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Finding the Fourth Proportional to 256,728.75, 354,242.73 and 149,303.31

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Solution

The fourth proportional to 256,728.75, 354,242.73 and 149,303.31 is: 206,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728.75 : 354,242.73 = 149,303.31 : x
  2. Step 2: Convert to fraction form
    256,728.75/354,242.73 = 149,303.31/x
  3. Step 3: Cross multiply
    256,728.75x = 354,242.73 × 149,303.31
  4. Step 4: Simplify right side
    256,728.75x = 52,889,612,132.44
  5. Step 5: Solve for x
    x = 52,889,612,132.44/256,728.75
  6. Step 6: Final answer
    x = 206,013.59

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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.