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Finding the Fourth Proportional to 517,912.34, 714,754.96 and 313,971.85

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Solution

The fourth proportional to 517,912.34, 714,754.96 and 313,971.85 is: 433,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,912.34 : 714,754.96 = 313,971.85 : x
  2. Step 2: Convert to fraction form
    517,912.34/714,754.96 = 313,971.85/x
  3. Step 3: Cross multiply
    517,912.34x = 714,754.96 × 313,971.85
  4. Step 4: Simplify right side
    517,912.34x = 224,412,940,089.68
  5. Step 5: Solve for x
    x = 224,412,940,089.68/517,912.34
  6. Step 6: Final answer
    x = 433,302.94

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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.