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Finding the Fourth Proportional to 352,896.66, 486,942.57 and 209,653.02

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Solution

The fourth proportional to 352,896.66, 486,942.57 and 209,653.02 is: 289,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,896.66 : 486,942.57 = 209,653.02 : x
  2. Step 2: Convert to fraction form
    352,896.66/486,942.57 = 209,653.02/x
  3. Step 3: Cross multiply
    352,896.66x = 486,942.57 × 209,653.02
  4. Step 4: Simplify right side
    352,896.66x = 102,088,980,367.06
  5. Step 5: Solve for x
    x = 102,088,980,367.06/352,896.66
  6. Step 6: Final answer
    x = 289,288.60

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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.