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Finding the Fourth Proportional to 289,204.16, 399,105.82 and 166,628.80

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Solution

The fourth proportional to 289,204.16, 399,105.82 and 166,628.80 is: 229,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,204.16 : 399,105.82 = 166,628.80 : x
  2. Step 2: Convert to fraction form
    289,204.16/399,105.82 = 166,628.80/x
  3. Step 3: Cross multiply
    289,204.16x = 399,105.82 × 166,628.80
  4. Step 4: Simplify right side
    289,204.16x = 66,502,521,384.53
  5. Step 5: Solve for x
    x = 66,502,521,384.53/289,204.16
  6. Step 6: Final answer
    x = 229,950.09

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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.