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Finding the Fourth Proportional to 631,842.56, 947,812.80 and 211,119.92

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Solution

The fourth proportional to 631,842.56, 947,812.80 and 211,119.92 is: 316,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,842.56 : 947,812.80 = 211,119.92 : x
  2. Step 2: Convert to fraction form
    631,842.56/947,812.80 = 211,119.92/x
  3. Step 3: Cross multiply
    631,842.56x = 947,812.80 × 211,119.92
  4. Step 4: Simplify right side
    631,842.56x = 200,102,162,510.98
  5. Step 5: Solve for x
    x = 200,102,162,510.98/631,842.56
  6. Step 6: Final answer
    x = 316,696.24

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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.