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Finding the Fourth Proportional to 419,563.93, 578,846.35 and 274,452.54

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Solution

The fourth proportional to 419,563.93, 578,846.35 and 274,452.54 is: 378,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,563.93 : 578,846.35 = 274,452.54 : x
  2. Step 2: Convert to fraction form
    419,563.93/578,846.35 = 274,452.54/x
  3. Step 3: Cross multiply
    419,563.93x = 578,846.35 × 274,452.54
  4. Step 4: Simplify right side
    419,563.93x = 158,865,849,654.97
  5. Step 5: Solve for x
    x = 158,865,849,654.97/419,563.93
  6. Step 6: Final answer
    x = 378,645.16

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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.