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Finding the Fourth Proportional to 417,860.48, 576,644.16 and 226,870

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Solution

The fourth proportional to 417,860.48, 576,644.16 and 226,870 is: 313,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,860.48 : 576,644.16 = 226,870 : x
  2. Step 2: Convert to fraction form
    417,860.48/576,644.16 = 226,870/x
  3. Step 3: Cross multiply
    417,860.48x = 576,644.16 × 226,870
  4. Step 4: Simplify right side
    417,860.48x = 130,823,260,579.20
  5. Step 5: Solve for x
    x = 130,823,260,579.20/417,860.48
  6. Step 6: Final answer
    x = 313,078.81

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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.