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Finding the Fourth Proportional to 310,583.92, 428,621.52 and 189,705.64

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Solution

The fourth proportional to 310,583.92, 428,621.52 and 189,705.64 is: 261,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,583.92 : 428,621.52 = 189,705.64 : x
  2. Step 2: Convert to fraction form
    310,583.92/428,621.52 = 189,705.64/x
  3. Step 3: Cross multiply
    310,583.92x = 428,621.52 × 189,705.64
  4. Step 4: Simplify right side
    310,583.92x = 81,311,919,769.37
  5. Step 5: Solve for x
    x = 81,311,919,769.37/310,583.92
  6. Step 6: Final answer
    x = 261,803.38

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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.