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Finding the Fourth Proportional to 330,937.64, 456,724.83 and 195,013.76

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Solution

The fourth proportional to 330,937.64, 456,724.83 and 195,013.76 is: 269,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,937.64 : 456,724.83 = 195,013.76 : x
  2. Step 2: Convert to fraction form
    330,937.64/456,724.83 = 195,013.76/x
  3. Step 3: Cross multiply
    330,937.64x = 456,724.83 × 195,013.76
  4. Step 4: Simplify right side
    330,937.64x = 89,067,624,100.04
  5. Step 5: Solve for x
    x = 89,067,624,100.04/330,937.64
  6. Step 6: Final answer
    x = 269,137.19

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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.