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Finding the Fourth Proportional to 631,838.56, 947,806.80 and 211,115.92

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Solution

The fourth proportional to 631,838.56, 947,806.80 and 211,115.92 is: 316,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,838.56 : 947,806.80 = 211,115.92 : x
  2. Step 2: Convert to fraction form
    631,838.56/947,806.80 = 211,115.92/x
  3. Step 3: Cross multiply
    631,838.56x = 947,806.80 × 211,115.92
  4. Step 4: Simplify right side
    631,838.56x = 200,097,104,564.26
  5. Step 5: Solve for x
    x = 200,097,104,564.26/631,838.56
  6. Step 6: Final answer
    x = 316,690.24

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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.