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Finding the Fourth Proportional to 231,289.44, 319,175.28 and 130,685.28

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Solution

The fourth proportional to 231,289.44, 319,175.28 and 130,685.28 is: 180,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,289.44 : 319,175.28 = 130,685.28 : x
  2. Step 2: Convert to fraction form
    231,289.44/319,175.28 = 130,685.28/x
  3. Step 3: Cross multiply
    231,289.44x = 319,175.28 × 130,685.28
  4. Step 4: Simplify right side
    231,289.44x = 41,711,510,835.88
  5. Step 5: Solve for x
    x = 41,711,510,835.88/231,289.44
  6. Step 6: Final answer
    x = 180,343.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.