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Finding the Fourth Proportional to 313,915.20, 433,217.79 and 177,951.79

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Solution

The fourth proportional to 313,915.20, 433,217.79 and 177,951.79 is: 245,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,915.20 : 433,217.79 = 177,951.79 : x
  2. Step 2: Convert to fraction form
    313,915.20/433,217.79 = 177,951.79/x
  3. Step 3: Cross multiply
    313,915.20x = 433,217.79 × 177,951.79
  4. Step 4: Simplify right side
    313,915.20x = 77,091,880,300.59
  5. Step 5: Solve for x
    x = 77,091,880,300.59/313,915.20
  6. Step 6: Final answer
    x = 245,581.87

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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.