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Finding the Fourth Proportional to 408,105.83, 612,222.13 and 208,318.11

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Solution

The fourth proportional to 408,105.83, 612,222.13 and 208,318.11 is: 312,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,105.83 : 612,222.13 = 208,318.11 : x
  2. Step 2: Convert to fraction form
    408,105.83/612,222.13 = 208,318.11/x
  3. Step 3: Cross multiply
    408,105.83x = 612,222.13 × 208,318.11
  4. Step 4: Simplify right side
    408,105.83x = 127,536,957,021.77
  5. Step 5: Solve for x
    x = 127,536,957,021.77/408,105.83
  6. Step 6: Final answer
    x = 312,509.52

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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.