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Finding the Fourth Proportional to 470,971.80, 649,712.57 and 279,849.87

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Solution

The fourth proportional to 470,971.80, 649,712.57 and 279,849.87 is: 386,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,971.80 : 649,712.57 = 279,849.87 : x
  2. Step 2: Convert to fraction form
    470,971.80/649,712.57 = 279,849.87/x
  3. Step 3: Cross multiply
    470,971.80x = 649,712.57 × 279,849.87
  4. Step 4: Simplify right side
    470,971.80x = 181,821,976,852.62
  5. Step 5: Solve for x
    x = 181,821,976,852.62/470,971.80
  6. Step 6: Final answer
    x = 386,057.04

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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.