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Finding the Fourth Proportional to 501,448.70, 751,465.78 and 276,910.22

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Solution

The fourth proportional to 501,448.70, 751,465.78 and 276,910.22 is: 414,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,448.70 : 751,465.78 = 276,910.22 : x
  2. Step 2: Convert to fraction form
    501,448.70/751,465.78 = 276,910.22/x
  3. Step 3: Cross multiply
    501,448.70x = 751,465.78 × 276,910.22
  4. Step 4: Simplify right side
    501,448.70x = 208,088,554,462.27
  5. Step 5: Solve for x
    x = 208,088,554,462.27/501,448.70
  6. Step 6: Final answer
    x = 414,974.76

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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.