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Finding the Fourth Proportional to 470,584.08, 649,404 and 255,720.24

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Solution

The fourth proportional to 470,584.08, 649,404 and 255,720.24 is: 352,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,584.08 : 649,404 = 255,720.24 : x
  2. Step 2: Convert to fraction form
    470,584.08/649,404 = 255,720.24/x
  3. Step 3: Cross multiply
    470,584.08x = 649,404 × 255,720.24
  4. Step 4: Simplify right side
    470,584.08x = 166,065,746,736.96
  5. Step 5: Solve for x
    x = 166,065,746,736.96/470,584.08
  6. Step 6: Final answer
    x = 352,892.83

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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.