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Finding the Fourth Proportional to 313,048.38, 431,527.41 and 191,965.13

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Solution

The fourth proportional to 313,048.38, 431,527.41 and 191,965.13 is: 264,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,048.38 : 431,527.41 = 191,965.13 : x
  2. Step 2: Convert to fraction form
    313,048.38/431,527.41 = 191,965.13/x
  3. Step 3: Cross multiply
    313,048.38x = 431,527.41 × 191,965.13
  4. Step 4: Simplify right side
    313,048.38x = 82,838,213,201.58
  5. Step 5: Solve for x
    x = 82,838,213,201.58/313,048.38
  6. Step 6: Final answer
    x = 264,617.93

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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.