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Finding the Fourth Proportional to 254,958.72, 382,489.08 and 142,798.38

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Solution

The fourth proportional to 254,958.72, 382,489.08 and 142,798.38 is: 214,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,958.72 : 382,489.08 = 142,798.38 : x
  2. Step 2: Convert to fraction form
    254,958.72/382,489.08 = 142,798.38/x
  3. Step 3: Cross multiply
    254,958.72x = 382,489.08 × 142,798.38
  4. Step 4: Simplify right side
    254,958.72x = 54,618,820,991.69
  5. Step 5: Solve for x
    x = 54,618,820,991.69/254,958.72
  6. Step 6: Final answer
    x = 214,226.13

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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.