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Finding the Fourth Proportional to 256,496.80, 384,751.80 and 121,529.20

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Solution

The fourth proportional to 256,496.80, 384,751.80 and 121,529.20 is: 182,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496.80 : 384,751.80 = 121,529.20 : x
  2. Step 2: Convert to fraction form
    256,496.80/384,751.80 = 121,529.20/x
  3. Step 3: Cross multiply
    256,496.80x = 384,751.80 × 121,529.20
  4. Step 4: Simplify right side
    256,496.80x = 46,758,578,452.56
  5. Step 5: Solve for x
    x = 46,758,578,452.56/256,496.80
  6. Step 6: Final answer
    x = 182,296.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.