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Finding the Fourth Proportional to 313,840.02, 472,467.73 and 285,939.30

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Solution

The fourth proportional to 313,840.02, 472,467.73 and 285,939.30 is: 430,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,840.02 : 472,467.73 = 285,939.30 : x
  2. Step 2: Convert to fraction form
    313,840.02/472,467.73 = 285,939.30/x
  3. Step 3: Cross multiply
    313,840.02x = 472,467.73 × 285,939.30
  4. Step 4: Simplify right side
    313,840.02x = 135,097,091,988.79
  5. Step 5: Solve for x
    x = 135,097,091,988.79/313,840.02
  6. Step 6: Final answer
    x = 430,464.83

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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.