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Finding the Fourth Proportional to 342,450.71, 472,714.44 and 306,578.44

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Solution

The fourth proportional to 342,450.71, 472,714.44 and 306,578.44 is: 423,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,450.71 : 472,714.44 = 306,578.44 : x
  2. Step 2: Convert to fraction form
    342,450.71/472,714.44 = 306,578.44/x
  3. Step 3: Cross multiply
    342,450.71x = 472,714.44 × 306,578.44
  4. Step 4: Simplify right side
    342,450.71x = 144,924,053,217.10
  5. Step 5: Solve for x
    x = 144,924,053,217.10/342,450.71
  6. Step 6: Final answer
    x = 423,196.83

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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.