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Finding the Fourth Proportional to 315,064.80, 472,942.80 and 196,869.60

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Solution

The fourth proportional to 315,064.80, 472,942.80 and 196,869.60 is: 295,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064.80 : 472,942.80 = 196,869.60 : x
  2. Step 2: Convert to fraction form
    315,064.80/472,942.80 = 196,869.60/x
  3. Step 3: Cross multiply
    315,064.80x = 472,942.80 × 196,869.60
  4. Step 4: Simplify right side
    315,064.80x = 93,108,059,858.88
  5. Step 5: Solve for x
    x = 93,108,059,858.88/315,064.80
  6. Step 6: Final answer
    x = 295,520.35

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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.