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Finding the Fourth Proportional to 470,476.82, 705,729.06 and 115,490.83

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Solution

The fourth proportional to 470,476.82, 705,729.06 and 115,490.83 is: 173,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,476.82 : 705,729.06 = 115,490.83 : x
  2. Step 2: Convert to fraction form
    470,476.82/705,729.06 = 115,490.83/x
  3. Step 3: Cross multiply
    470,476.82x = 705,729.06 × 115,490.83
  4. Step 4: Simplify right side
    470,476.82x = 81,505,231,365.87
  5. Step 5: Solve for x
    x = 81,505,231,365.87/470,476.82
  6. Step 6: Final answer
    x = 173,239.63

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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.