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Finding the Fourth Proportional to 419,590.85, 579,042.02 and 228,604.19

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Solution

The fourth proportional to 419,590.85, 579,042.02 and 228,604.19 is: 315,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,590.85 : 579,042.02 = 228,604.19 : x
  2. Step 2: Convert to fraction form
    419,590.85/579,042.02 = 228,604.19/x
  3. Step 3: Cross multiply
    419,590.85x = 579,042.02 × 228,604.19
  4. Step 4: Simplify right side
    419,590.85x = 132,371,430,815.04
  5. Step 5: Solve for x
    x = 132,371,430,815.04/419,590.85
  6. Step 6: Final answer
    x = 315,477.40

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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.