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Finding the Fourth Proportional to 379,347.50, 523,499.15 and 218,198.41

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Solution

The fourth proportional to 379,347.50, 523,499.15 and 218,198.41 is: 301,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,347.50 : 523,499.15 = 218,198.41 : x
  2. Step 2: Convert to fraction form
    379,347.50/523,499.15 = 218,198.41/x
  3. Step 3: Cross multiply
    379,347.50x = 523,499.15 × 218,198.41
  4. Step 4: Simplify right side
    379,347.50x = 114,226,681,403.10
  5. Step 5: Solve for x
    x = 114,226,681,403.10/379,347.50
  6. Step 6: Final answer
    x = 301,113.57

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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.