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Finding the Fourth Proportional to 312,463.41, 431,242.43 and 191,583.33

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Solution

The fourth proportional to 312,463.41, 431,242.43 and 191,583.33 is: 264,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,463.41 : 431,242.43 = 191,583.33 : x
  2. Step 2: Convert to fraction form
    312,463.41/431,242.43 = 191,583.33/x
  3. Step 3: Cross multiply
    312,463.41x = 431,242.43 × 191,583.33
  4. Step 4: Simplify right side
    312,463.41x = 82,618,859,818.78
  5. Step 5: Solve for x
    x = 82,618,859,818.78/312,463.41
  6. Step 6: Final answer
    x = 264,411.31

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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.