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Finding the Fourth Proportional to 258,997.74, 357,369.48 and 144,273.54

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Solution

The fourth proportional to 258,997.74, 357,369.48 and 144,273.54 is: 199,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,997.74 : 357,369.48 = 144,273.54 : x
  2. Step 2: Convert to fraction form
    258,997.74/357,369.48 = 144,273.54/x
  3. Step 3: Cross multiply
    258,997.74x = 357,369.48 × 144,273.54
  4. Step 4: Simplify right side
    258,997.74x = 51,558,959,967.56
  5. Step 5: Solve for x
    x = 51,558,959,967.56/258,997.74
  6. Step 6: Final answer
    x = 199,071.08

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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.