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Finding the Fourth Proportional to 299,129.82, 412,799.46 and 171,830.04

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Solution

The fourth proportional to 299,129.82, 412,799.46 and 171,830.04 is: 237,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,129.82 : 412,799.46 = 171,830.04 : x
  2. Step 2: Convert to fraction form
    299,129.82/412,799.46 = 171,830.04/x
  3. Step 3: Cross multiply
    299,129.82x = 412,799.46 × 171,830.04
  4. Step 4: Simplify right side
    299,129.82x = 70,931,347,723.78
  5. Step 5: Solve for x
    x = 70,931,347,723.78/299,129.82
  6. Step 6: Final answer
    x = 237,125.63

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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.