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Finding the Fourth Proportional to 256,728.82, 354,167.88 and 166,114.32

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Solution

The fourth proportional to 256,728.82, 354,167.88 and 166,114.32 is: 229,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728.82 : 354,167.88 = 166,114.32 : x
  2. Step 2: Convert to fraction form
    256,728.82/354,167.88 = 166,114.32/x
  3. Step 3: Cross multiply
    256,728.82x = 354,167.88 × 166,114.32
  4. Step 4: Simplify right side
    256,728.82x = 58,832,356,552.04
  5. Step 5: Solve for x
    x = 58,832,356,552.04/256,728.82
  6. Step 6: Final answer
    x = 229,161.48

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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.