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Finding the Fourth Proportional to 315,755.56, 435,748.94 and 172,524.47

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Solution

The fourth proportional to 315,755.56, 435,748.94 and 172,524.47 is: 238,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,755.56 : 435,748.94 = 172,524.47 : x
  2. Step 2: Convert to fraction form
    315,755.56/435,748.94 = 172,524.47/x
  3. Step 3: Cross multiply
    315,755.56x = 435,748.94 × 172,524.47
  4. Step 4: Simplify right side
    315,755.56x = 75,177,356,447.25
  5. Step 5: Solve for x
    x = 75,177,356,447.25/315,755.56
  6. Step 6: Final answer
    x = 238,087.20

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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.