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Finding the Fourth Proportional to 291,915.75, 402,843.81 and 164,591.38

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Solution

The fourth proportional to 291,915.75, 402,843.81 and 164,591.38 is: 227,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,915.75 : 402,843.81 = 164,591.38 : x
  2. Step 2: Convert to fraction form
    291,915.75/402,843.81 = 164,591.38/x
  3. Step 3: Cross multiply
    291,915.75x = 402,843.81 × 164,591.38
  4. Step 4: Simplify right side
    291,915.75x = 66,304,618,612.36
  5. Step 5: Solve for x
    x = 66,304,618,612.36/291,915.75
  6. Step 6: Final answer
    x = 227,136.15

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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.