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Finding the Fourth Proportional to 405,201.29, 559,211.45 and 223,948.61

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Solution

The fourth proportional to 405,201.29, 559,211.45 and 223,948.61 is: 309,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,201.29 : 559,211.45 = 223,948.61 : x
  2. Step 2: Convert to fraction form
    405,201.29/559,211.45 = 223,948.61/x
  3. Step 3: Cross multiply
    405,201.29x = 559,211.45 × 223,948.61
  4. Step 4: Simplify right side
    405,201.29x = 125,234,626,923.58
  5. Step 5: Solve for x
    x = 125,234,626,923.58/405,201.29
  6. Step 6: Final answer
    x = 309,067.69

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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.