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Finding the Fourth Proportional to 631,912, 947,902.56 and 188,714.56

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Solution

The fourth proportional to 631,912, 947,902.56 and 188,714.56 is: 283,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,912 : 947,902.56 = 188,714.56 : x
  2. Step 2: Convert to fraction form
    631,912/947,902.56 = 188,714.56/x
  3. Step 3: Cross multiply
    631,912x = 947,902.56 × 188,714.56
  4. Step 4: Simplify right side
    631,912x = 178,883,014,533.27
  5. Step 5: Solve for x
    x = 178,883,014,533.27/631,912
  6. Step 6: Final answer
    x = 283,082.16

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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.