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Finding the Fourth Proportional to 631,500, 947,717.52 and 299,076.96

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Solution

The fourth proportional to 631,500, 947,717.52 and 299,076.96 is: 448,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,500 : 947,717.52 = 299,076.96 : x
  2. Step 2: Convert to fraction form
    631,500/947,717.52 = 299,076.96/x
  3. Step 3: Cross multiply
    631,500x = 947,717.52 × 299,076.96
  4. Step 4: Simplify right side
    631,500x = 283,440,474,820.34
  5. Step 5: Solve for x
    x = 283,440,474,820.34/631,500
  6. Step 6: Final answer
    x = 448,836.86

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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.