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Finding the Fourth Proportional to 631,860.56, 947,839.80 and 211,137.92

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Solution

The fourth proportional to 631,860.56, 947,839.80 and 211,137.92 is: 316,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,860.56 : 947,839.80 = 211,137.92 : x
  2. Step 2: Convert to fraction form
    631,860.56/947,839.80 = 211,137.92/x
  3. Step 3: Cross multiply
    631,860.56x = 947,839.80 × 211,137.92
  4. Step 4: Simplify right side
    631,860.56x = 200,124,923,865.22
  5. Step 5: Solve for x
    x = 200,124,923,865.22/631,860.56
  6. Step 6: Final answer
    x = 316,723.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.