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Finding the Fourth Proportional to 553,165.97, 829,806.62 and 211,608.73

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Solution

The fourth proportional to 553,165.97, 829,806.62 and 211,608.73 is: 317,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,165.97 : 829,806.62 = 211,608.73 : x
  2. Step 2: Convert to fraction form
    553,165.97/829,806.62 = 211,608.73/x
  3. Step 3: Cross multiply
    553,165.97x = 829,806.62 × 211,608.73
  4. Step 4: Simplify right side
    553,165.97x = 175,594,322,664.77
  5. Step 5: Solve for x
    x = 175,594,322,664.77/553,165.97
  6. Step 6: Final answer
    x = 317,435.15

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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.