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Finding the Fourth Proportional to 427,779.57, 641,447.85 and 228,046.32

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Solution

The fourth proportional to 427,779.57, 641,447.85 and 228,046.32 is: 341,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,779.57 : 641,447.85 = 228,046.32 : x
  2. Step 2: Convert to fraction form
    427,779.57/641,447.85 = 228,046.32/x
  3. Step 3: Cross multiply
    427,779.57x = 641,447.85 × 228,046.32
  4. Step 4: Simplify right side
    427,779.57x = 146,279,821,664.41
  5. Step 5: Solve for x
    x = 146,279,821,664.41/427,779.57
  6. Step 6: Final answer
    x = 341,951.40

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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.