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Finding the Fourth Proportional to 313,915.87, 470,863.38 and 136,423.05

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Solution

The fourth proportional to 313,915.87, 470,863.38 and 136,423.05 is: 204,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,915.87 : 470,863.38 = 136,423.05 : x
  2. Step 2: Convert to fraction form
    313,915.87/470,863.38 = 136,423.05/x
  3. Step 3: Cross multiply
    313,915.87x = 470,863.38 × 136,423.05
  4. Step 4: Simplify right side
    313,915.87x = 64,236,617,073.53
  5. Step 5: Solve for x
    x = 64,236,617,073.53/313,915.87
  6. Step 6: Final answer
    x = 204,630.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.