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Finding the Fourth Proportional to 368,443, 508,451.34 and 209,467

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Solution

The fourth proportional to 368,443, 508,451.34 and 209,467 is: 289,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,443 : 508,451.34 = 209,467 : x
  2. Step 2: Convert to fraction form
    368,443/508,451.34 = 209,467/x
  3. Step 3: Cross multiply
    368,443x = 508,451.34 × 209,467
  4. Step 4: Simplify right side
    368,443x = 106,503,776,835.78
  5. Step 5: Solve for x
    x = 106,503,776,835.78/368,443
  6. Step 6: Final answer
    x = 289,064.46

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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.