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Finding the Fourth Proportional to 305,102.78, 421,209.40 and 208,451.96

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Solution

The fourth proportional to 305,102.78, 421,209.40 and 208,451.96 is: 287,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.78 : 421,209.40 = 208,451.96 : x
  2. Step 2: Convert to fraction form
    305,102.78/421,209.40 = 208,451.96/x
  3. Step 3: Cross multiply
    305,102.78x = 421,209.40 × 208,451.96
  4. Step 4: Simplify right side
    305,102.78x = 87,801,925,000.42
  5. Step 5: Solve for x
    x = 87,801,925,000.42/305,102.78
  6. Step 6: Final answer
    x = 287,778.19

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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.