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Finding the Fourth Proportional to 600,509.36, 900,819.94 and 221,414.78

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Solution

The fourth proportional to 600,509.36, 900,819.94 and 221,414.78 is: 332,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,509.36 : 900,819.94 = 221,414.78 : x
  2. Step 2: Convert to fraction form
    600,509.36/900,819.94 = 221,414.78/x
  3. Step 3: Cross multiply
    600,509.36x = 900,819.94 × 221,414.78
  4. Step 4: Simplify right side
    600,509.36x = 199,454,848,834.71
  5. Step 5: Solve for x
    x = 199,454,848,834.71/600,509.36
  6. Step 6: Final answer
    x = 332,142.78

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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.