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Finding the Fourth Proportional to 307,763.33, 424,905.42 and 198,924.65

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Solution

The fourth proportional to 307,763.33, 424,905.42 and 198,924.65 is: 274,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,763.33 : 424,905.42 = 198,924.65 : x
  2. Step 2: Convert to fraction form
    307,763.33/424,905.42 = 198,924.65/x
  3. Step 3: Cross multiply
    307,763.33x = 424,905.42 × 198,924.65
  4. Step 4: Simplify right side
    307,763.33x = 84,524,161,956.60
  5. Step 5: Solve for x
    x = 84,524,161,956.60/307,763.33
  6. Step 6: Final answer
    x = 274,640.13

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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.