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Finding the Fourth Proportional to 218,109.83, 301,221.03 and 194,334.86

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Solution

The fourth proportional to 218,109.83, 301,221.03 and 194,334.86 is: 268,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109.83 : 301,221.03 = 194,334.86 : x
  2. Step 2: Convert to fraction form
    218,109.83/301,221.03 = 194,334.86/x
  3. Step 3: Cross multiply
    218,109.83x = 301,221.03 × 194,334.86
  4. Step 4: Simplify right side
    218,109.83x = 58,537,747,082.78
  5. Step 5: Solve for x
    x = 58,537,747,082.78/218,109.83
  6. Step 6: Final answer
    x = 268,386.56

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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.