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Finding the Fourth Proportional to 631,872.06, 947,857.11 and 211,149.42

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Solution

The fourth proportional to 631,872.06, 947,857.11 and 211,149.42 is: 316,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,872.06 : 947,857.11 = 211,149.42 : x
  2. Step 2: Convert to fraction form
    631,872.06/947,857.11 = 211,149.42/x
  3. Step 3: Cross multiply
    631,872.06x = 947,857.11 × 211,149.42
  4. Step 4: Simplify right side
    631,872.06x = 200,139,479,019.38
  5. Step 5: Solve for x
    x = 200,139,479,019.38/631,872.06
  6. Step 6: Final answer
    x = 316,740.51

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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.