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Finding the Fourth Proportional to 289,361.30, 399,304.05 and 160,292.66

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Solution

The fourth proportional to 289,361.30, 399,304.05 and 160,292.66 is: 221,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,361.30 : 399,304.05 = 160,292.66 : x
  2. Step 2: Convert to fraction form
    289,361.30/399,304.05 = 160,292.66/x
  3. Step 3: Cross multiply
    289,361.30x = 399,304.05 × 160,292.66
  4. Step 4: Simplify right side
    289,361.30x = 64,005,508,323.27
  5. Step 5: Solve for x
    x = 64,005,508,323.27/289,361.30
  6. Step 6: Final answer
    x = 221,195.81

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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.