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Finding the Fourth Proportional to 313,470.89, 432,722.25 and 211,634.28

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Solution

The fourth proportional to 313,470.89, 432,722.25 and 211,634.28 is: 292,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470.89 : 432,722.25 = 211,634.28 : x
  2. Step 2: Convert to fraction form
    313,470.89/432,722.25 = 211,634.28/x
  3. Step 3: Cross multiply
    313,470.89x = 432,722.25 × 211,634.28
  4. Step 4: Simplify right side
    313,470.89x = 91,578,861,818.73
  5. Step 5: Solve for x
    x = 91,578,861,818.73/313,470.89
  6. Step 6: Final answer
    x = 292,144.71

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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.