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Finding the Fourth Proportional to 347,694.29, 520,864.83 and 256,343.30

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Solution

The fourth proportional to 347,694.29, 520,864.83 and 256,343.30 is: 384,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,694.29 : 520,864.83 = 256,343.30 : x
  2. Step 2: Convert to fraction form
    347,694.29/520,864.83 = 256,343.30/x
  3. Step 3: Cross multiply
    347,694.29x = 520,864.83 × 256,343.30
  4. Step 4: Simplify right side
    347,694.29x = 133,520,208,725.06
  5. Step 5: Solve for x
    x = 133,520,208,725.06/347,694.29
  6. Step 6: Final answer
    x = 384,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.