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Finding the Fourth Proportional to 299,139.57, 412,796.39 and 171,815.20

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Solution

The fourth proportional to 299,139.57, 412,796.39 and 171,815.20 is: 237,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.57 : 412,796.39 = 171,815.20 : x
  2. Step 2: Convert to fraction form
    299,139.57/412,796.39 = 171,815.20/x
  3. Step 3: Cross multiply
    299,139.57x = 412,796.39 × 171,815.20
  4. Step 4: Simplify right side
    299,139.57x = 70,924,692,416.06
  5. Step 5: Solve for x
    x = 70,924,692,416.06/299,139.57
  6. Step 6: Final answer
    x = 237,095.66

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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.