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Finding the Fourth Proportional to 470,261.62, 705,388.66 and 279,458.38

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Solution

The fourth proportional to 470,261.62, 705,388.66 and 279,458.38 is: 419,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,261.62 : 705,388.66 = 279,458.38 : x
  2. Step 2: Convert to fraction form
    470,261.62/705,388.66 = 279,458.38/x
  3. Step 3: Cross multiply
    470,261.62x = 705,388.66 × 279,458.38
  4. Step 4: Simplify right side
    470,261.62x = 197,126,772,193.97
  5. Step 5: Solve for x
    x = 197,126,772,193.97/470,261.62
  6. Step 6: Final answer
    x = 419,185.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.