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Finding the Fourth Proportional to 470,997, 649,975.86 and 269,805.96

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Solution

The fourth proportional to 470,997, 649,975.86 and 269,805.96 is: 372,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,997 : 649,975.86 = 269,805.96 : x
  2. Step 2: Convert to fraction form
    470,997/649,975.86 = 269,805.96/x
  3. Step 3: Cross multiply
    470,997x = 649,975.86 × 269,805.96
  4. Step 4: Simplify right side
    470,997x = 175,367,360,884.13
  5. Step 5: Solve for x
    x = 175,367,360,884.13/470,997
  6. Step 6: Final answer
    x = 372,332.22

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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.