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Finding the Fourth Proportional to 310,861.37, 428,956.26 and 174,883.77

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Solution

The fourth proportional to 310,861.37, 428,956.26 and 174,883.77 is: 241,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,861.37 : 428,956.26 = 174,883.77 : x
  2. Step 2: Convert to fraction form
    310,861.37/428,956.26 = 174,883.77/x
  3. Step 3: Cross multiply
    310,861.37x = 428,956.26 × 174,883.77
  4. Step 4: Simplify right side
    310,861.37x = 75,017,487,913.90
  5. Step 5: Solve for x
    x = 75,017,487,913.90/310,861.37
  6. Step 6: Final answer
    x = 241,321.36

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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.