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Finding the Fourth Proportional to 313,841.02, 472,469.24 and 285,940.30

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Solution

The fourth proportional to 313,841.02, 472,469.24 and 285,940.30 is: 430,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,841.02 : 472,469.24 = 285,940.30 : x
  2. Step 2: Convert to fraction form
    313,841.02/472,469.24 = 285,940.30/x
  3. Step 3: Cross multiply
    313,841.02x = 472,469.24 × 285,940.30
  4. Step 4: Simplify right side
    313,841.02x = 135,097,996,226.37
  5. Step 5: Solve for x
    x = 135,097,996,226.37/313,841.02
  6. Step 6: Final answer
    x = 430,466.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.