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Finding the Fourth Proportional to 391,021.20, 586,294.20 and 154,090.80

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Solution

The fourth proportional to 391,021.20, 586,294.20 and 154,090.80 is: 231,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,021.20 : 586,294.20 = 154,090.80 : x
  2. Step 2: Convert to fraction form
    391,021.20/586,294.20 = 154,090.80/x
  3. Step 3: Cross multiply
    391,021.20x = 586,294.20 × 154,090.80
  4. Step 4: Simplify right side
    391,021.20x = 90,342,542,313.36
  5. Step 5: Solve for x
    x = 90,342,542,313.36/391,021.20
  6. Step 6: Final answer
    x = 231,042.57

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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.