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Finding the Fourth Proportional to 419,858.23, 579,047.83 and 354,765.97

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Solution

The fourth proportional to 419,858.23, 579,047.83 and 354,765.97 is: 489,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,858.23 : 579,047.83 = 354,765.97 : x
  2. Step 2: Convert to fraction form
    419,858.23/579,047.83 = 354,765.97/x
  3. Step 3: Cross multiply
    419,858.23x = 579,047.83 × 354,765.97
  4. Step 4: Simplify right side
    419,858.23x = 205,426,465,086.35
  5. Step 5: Solve for x
    x = 205,426,465,086.35/419,858.23
  6. Step 6: Final answer
    x = 489,275.79

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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.