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Finding the Fourth Proportional to 417,644.66, 576,349.92 and 226,658

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Solution

The fourth proportional to 417,644.66, 576,349.92 and 226,658 is: 312,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,644.66 : 576,349.92 = 226,658 : x
  2. Step 2: Convert to fraction form
    417,644.66/576,349.92 = 226,658/x
  3. Step 3: Cross multiply
    417,644.66x = 576,349.92 × 226,658
  4. Step 4: Simplify right side
    417,644.66x = 130,634,320,167.36
  5. Step 5: Solve for x
    x = 130,634,320,167.36/417,644.66
  6. Step 6: Final answer
    x = 312,788.20

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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.