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Finding the Fourth Proportional to 292,446.80, 437,698.20 and 212,256.80

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Solution

The fourth proportional to 292,446.80, 437,698.20 and 212,256.80 is: 317,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,446.80 : 437,698.20 = 212,256.80 : x
  2. Step 2: Convert to fraction form
    292,446.80/437,698.20 = 212,256.80/x
  3. Step 3: Cross multiply
    292,446.80x = 437,698.20 × 212,256.80
  4. Step 4: Simplify right side
    292,446.80x = 92,904,419,297.76
  5. Step 5: Solve for x
    x = 92,904,419,297.76/292,446.80
  6. Step 6: Final answer
    x = 317,679.73

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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.