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Finding the Fourth Proportional to 340,640.52, 470,087.46 and 213,390.96

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Solution

The fourth proportional to 340,640.52, 470,087.46 and 213,390.96 is: 294,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,640.52 : 470,087.46 = 213,390.96 : x
  2. Step 2: Convert to fraction form
    340,640.52/470,087.46 = 213,390.96/x
  3. Step 3: Cross multiply
    340,640.52x = 470,087.46 × 213,390.96
  4. Step 4: Simplify right side
    340,640.52x = 100,312,414,373.36
  5. Step 5: Solve for x
    x = 100,312,414,373.36/340,640.52
  6. Step 6: Final answer
    x = 294,481.74

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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.