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Finding the Fourth Proportional to 427,778.07, 641,445.62 and 228,044.81

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Solution

The fourth proportional to 427,778.07, 641,445.62 and 228,044.81 is: 341,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,778.07 : 641,445.62 = 228,044.81 : x
  2. Step 2: Convert to fraction form
    427,778.07/641,445.62 = 228,044.81/x
  3. Step 3: Cross multiply
    427,778.07x = 641,445.62 × 228,044.81
  4. Step 4: Simplify right side
    427,778.07x = 146,278,340,190.78
  5. Step 5: Solve for x
    x = 146,278,340,190.78/427,778.07
  6. Step 6: Final answer
    x = 341,949.13

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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.