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Finding the Fourth Proportional to 289,469.73, 399,480.96 and 160,407.84

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Solution

The fourth proportional to 289,469.73, 399,480.96 and 160,407.84 is: 221,369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,469.73 : 399,480.96 = 160,407.84 : x
  2. Step 2: Convert to fraction form
    289,469.73/399,480.96 = 160,407.84/x
  3. Step 3: Cross multiply
    289,469.73x = 399,480.96 × 160,407.84
  4. Step 4: Simplify right side
    289,469.73x = 64,079,877,914.73
  5. Step 5: Solve for x
    x = 64,079,877,914.73/289,469.73
  6. Step 6: Final answer
    x = 221,369.87

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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.