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Finding the Fourth Proportional to 631,856, 947,933.76 and 188,635.52

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Solution

The fourth proportional to 631,856, 947,933.76 and 188,635.52 is: 282,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,856 : 947,933.76 = 188,635.52 : x
  2. Step 2: Convert to fraction form
    631,856/947,933.76 = 188,635.52/x
  3. Step 3: Cross multiply
    631,856x = 947,933.76 × 188,635.52
  4. Step 4: Simplify right side
    631,856x = 178,813,977,743.16
  5. Step 5: Solve for x
    x = 178,813,977,743.16/631,856
  6. Step 6: Final answer
    x = 282,997.99

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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.