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Finding the Fourth Proportional to 256,518.56, 384,865.32 and 138,202.04

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Solution

The fourth proportional to 256,518.56, 384,865.32 and 138,202.04 is: 207,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,518.56 : 384,865.32 = 138,202.04 : x
  2. Step 2: Convert to fraction form
    256,518.56/384,865.32 = 138,202.04/x
  3. Step 3: Cross multiply
    256,518.56x = 384,865.32 × 138,202.04
  4. Step 4: Simplify right side
    256,518.56x = 53,189,172,349.25
  5. Step 5: Solve for x
    x = 53,189,172,349.25/256,518.56
  6. Step 6: Final answer
    x = 207,350.19

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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.