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Finding the Fourth Proportional to 256,830.80, 354,651.72 and 161,502.80

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Solution

The fourth proportional to 256,830.80, 354,651.72 and 161,502.80 is: 223,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,830.80 : 354,651.72 = 161,502.80 : x
  2. Step 2: Convert to fraction form
    256,830.80/354,651.72 = 161,502.80/x
  3. Step 3: Cross multiply
    256,830.80x = 354,651.72 × 161,502.80
  4. Step 4: Simplify right side
    256,830.80x = 57,277,245,804.82
  5. Step 5: Solve for x
    x = 57,277,245,804.82/256,830.80
  6. Step 6: Final answer
    x = 223,015.49

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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.