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Finding the Fourth Proportional to 470,342.64, 649,054.44 and 279,351.12

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Solution

The fourth proportional to 470,342.64, 649,054.44 and 279,351.12 is: 385,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,342.64 : 649,054.44 = 279,351.12 : x
  2. Step 2: Convert to fraction form
    470,342.64/649,054.44 = 279,351.12/x
  3. Step 3: Cross multiply
    470,342.64x = 649,054.44 × 279,351.12
  4. Step 4: Simplify right side
    470,342.64x = 181,314,084,754.97
  5. Step 5: Solve for x
    x = 181,314,084,754.97/470,342.64
  6. Step 6: Final answer
    x = 385,493.62

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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.