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Finding the Fourth Proportional to 470,222.50, 649,105.71 and 317,467.64

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Solution

The fourth proportional to 470,222.50, 649,105.71 and 317,467.64 is: 438,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,222.50 : 649,105.71 = 317,467.64 : x
  2. Step 2: Convert to fraction form
    470,222.50/649,105.71 = 317,467.64/x
  3. Step 3: Cross multiply
    470,222.50x = 649,105.71 × 317,467.64
  4. Step 4: Simplify right side
    470,222.50x = 206,070,054,618.70
  5. Step 5: Solve for x
    x = 206,070,054,618.70/470,222.50
  6. Step 6: Final answer
    x = 438,239.46

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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.