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Finding the Fourth Proportional to 418,726.35, 628,151.80 and 194,109.51

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Solution

The fourth proportional to 418,726.35, 628,151.80 and 194,109.51 is: 291,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,726.35 : 628,151.80 = 194,109.51 : x
  2. Step 2: Convert to fraction form
    418,726.35/628,151.80 = 194,109.51/x
  3. Step 3: Cross multiply
    418,726.35x = 628,151.80 × 194,109.51
  4. Step 4: Simplify right side
    418,726.35x = 121,930,238,103.62
  5. Step 5: Solve for x
    x = 121,930,238,103.62/418,726.35
  6. Step 6: Final answer
    x = 291,193.13

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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.