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Finding the Fourth Proportional to 345,713.67, 518,640.98 and 196,020.81

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Solution

The fourth proportional to 345,713.67, 518,640.98 and 196,020.81 is: 294,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,713.67 : 518,640.98 = 196,020.81 : x
  2. Step 2: Convert to fraction form
    345,713.67/518,640.98 = 196,020.81/x
  3. Step 3: Cross multiply
    345,713.67x = 518,640.98 × 196,020.81
  4. Step 4: Simplify right side
    345,713.67x = 101,664,424,018.69
  5. Step 5: Solve for x
    x = 101,664,424,018.69/345,713.67
  6. Step 6: Final answer
    x = 294,071.17

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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.