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Finding the Fourth Proportional to 312,469.10, 468,727.95 and 102,128.30

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Solution

The fourth proportional to 312,469.10, 468,727.95 and 102,128.30 is: 153,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.10 : 468,727.95 = 102,128.30 : x
  2. Step 2: Convert to fraction form
    312,469.10/468,727.95 = 102,128.30/x
  3. Step 3: Cross multiply
    312,469.10x = 468,727.95 × 102,128.30
  4. Step 4: Simplify right side
    312,469.10x = 47,870,388,493.06
  5. Step 5: Solve for x
    x = 47,870,388,493.06/312,469.10
  6. Step 6: Final answer
    x = 153,200.39

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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.