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Finding the Fourth Proportional to 289,218.02, 399,018.22 and 188,441.06

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Solution

The fourth proportional to 289,218.02, 399,018.22 and 188,441.06 is: 259,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,218.02 : 399,018.22 = 188,441.06 : x
  2. Step 2: Convert to fraction form
    289,218.02/399,018.22 = 188,441.06/x
  3. Step 3: Cross multiply
    289,218.02x = 399,018.22 × 188,441.06
  4. Step 4: Simplify right side
    289,218.02x = 75,191,413,869.92
  5. Step 5: Solve for x
    x = 75,191,413,869.92/289,218.02
  6. Step 6: Final answer
    x = 259,981.78

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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.