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Finding the Fourth Proportional to 408,403.08, 612,204.66 and 228,576.32

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Solution

The fourth proportional to 408,403.08, 612,204.66 and 228,576.32 is: 342,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,403.08 : 612,204.66 = 228,576.32 : x
  2. Step 2: Convert to fraction form
    408,403.08/612,204.66 = 228,576.32/x
  3. Step 3: Cross multiply
    408,403.08x = 612,204.66 × 228,576.32
  4. Step 4: Simplify right side
    408,403.08x = 139,935,488,269.65
  5. Step 5: Solve for x
    x = 139,935,488,269.65/408,403.08
  6. Step 6: Final answer
    x = 342,640.63

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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.