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Finding the Fourth Proportional to 257,198.89, 355,027.63 and 209,369.20

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Solution

The fourth proportional to 257,198.89, 355,027.63 and 209,369.20 is: 289,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.89 : 355,027.63 = 209,369.20 : x
  2. Step 2: Convert to fraction form
    257,198.89/355,027.63 = 209,369.20/x
  3. Step 3: Cross multiply
    257,198.89x = 355,027.63 × 209,369.20
  4. Step 4: Simplify right side
    257,198.89x = 74,331,849,095.86
  5. Step 5: Solve for x
    x = 74,331,849,095.86/257,198.89
  6. Step 6: Final answer
    x = 289,005.33

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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.