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Finding the Fourth Proportional to 470,504.67, 649,287.09 and 255,646.28

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Solution

The fourth proportional to 470,504.67, 649,287.09 and 255,646.28 is: 352,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504.67 : 649,287.09 = 255,646.28 : x
  2. Step 2: Convert to fraction form
    470,504.67/649,287.09 = 255,646.28/x
  3. Step 3: Cross multiply
    470,504.67x = 649,287.09 × 255,646.28
  4. Step 4: Simplify right side
    470,504.67x = 165,987,827,181.50
  5. Step 5: Solve for x
    x = 165,987,827,181.50/470,504.67
  6. Step 6: Final answer
    x = 352,786.78

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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.