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Finding the Fourth Proportional to 230,546.50, 318,416.61 and 154,963.78

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Solution

The fourth proportional to 230,546.50, 318,416.61 and 154,963.78 is: 214,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,546.50 : 318,416.61 = 154,963.78 : x
  2. Step 2: Convert to fraction form
    230,546.50/318,416.61 = 154,963.78/x
  3. Step 3: Cross multiply
    230,546.50x = 318,416.61 × 154,963.78
  4. Step 4: Simplify right side
    230,546.50x = 49,343,041,500.39
  5. Step 5: Solve for x
    x = 49,343,041,500.39/230,546.50
  6. Step 6: Final answer
    x = 214,026.42

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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.