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Finding the Fourth Proportional to 404,648.20, 606,243.30 and 193,821.40

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Solution

The fourth proportional to 404,648.20, 606,243.30 and 193,821.40 is: 290,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,648.20 : 606,243.30 = 193,821.40 : x
  2. Step 2: Convert to fraction form
    404,648.20/606,243.30 = 193,821.40/x
  3. Step 3: Cross multiply
    404,648.20x = 606,243.30 × 193,821.40
  4. Step 4: Simplify right side
    404,648.20x = 117,502,925,146.62
  5. Step 5: Solve for x
    x = 117,502,925,146.62/404,648.20
  6. Step 6: Final answer
    x = 290,382.92

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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.