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Finding the Fourth Proportional to 470,362.29, 649,194.44 and 279,338.78

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Solution

The fourth proportional to 470,362.29, 649,194.44 and 279,338.78 is: 385,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,362.29 : 649,194.44 = 279,338.78 : x
  2. Step 2: Convert to fraction form
    470,362.29/649,194.44 = 279,338.78/x
  3. Step 3: Cross multiply
    470,362.29x = 649,194.44 × 279,338.78
  4. Step 4: Simplify right side
    470,362.29x = 181,345,178,908.06
  5. Step 5: Solve for x
    x = 181,345,178,908.06/470,362.29
  6. Step 6: Final answer
    x = 385,543.62

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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.