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Finding the Fourth Proportional to 470,245.23, 648,993.81 and 279,258.62

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Solution

The fourth proportional to 470,245.23, 648,993.81 and 279,258.62 is: 385,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,245.23 : 648,993.81 = 279,258.62 : x
  2. Step 2: Convert to fraction form
    470,245.23/648,993.81 = 279,258.62/x
  3. Step 3: Cross multiply
    470,245.23x = 648,993.81 × 279,258.62
  4. Step 4: Simplify right side
    470,245.23x = 181,237,112,524.17
  5. Step 5: Solve for x
    x = 181,237,112,524.17/470,245.23
  6. Step 6: Final answer
    x = 385,409.78

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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.