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Finding the Fourth Proportional to 313,470.98, 432,722.37 and 211,634.37

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Solution

The fourth proportional to 313,470.98, 432,722.37 and 211,634.37 is: 292,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470.98 : 432,722.37 = 211,634.37 : x
  2. Step 2: Convert to fraction form
    313,470.98/432,722.37 = 211,634.37/x
  3. Step 3: Cross multiply
    313,470.98x = 432,722.37 × 211,634.37
  4. Step 4: Simplify right side
    313,470.98x = 91,578,926,159.86
  5. Step 5: Solve for x
    x = 91,578,926,159.86/313,470.98
  6. Step 6: Final answer
    x = 292,144.83

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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.