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Finding the Fourth Proportional to 299,451.42, 412,750.50 and 212,265.72

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Solution

The fourth proportional to 299,451.42, 412,750.50 and 212,265.72 is: 292,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,451.42 : 412,750.50 = 212,265.72 : x
  2. Step 2: Convert to fraction form
    299,451.42/412,750.50 = 212,265.72/x
  3. Step 3: Cross multiply
    299,451.42x = 412,750.50 × 212,265.72
  4. Step 4: Simplify right side
    299,451.42x = 87,612,782,062.86
  5. Step 5: Solve for x
    x = 87,612,782,062.86/299,451.42
  6. Step 6: Final answer
    x = 292,577.61

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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.