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Finding the Fourth Proportional to 419,295.92, 578,549.36 and 247,268

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Solution

The fourth proportional to 419,295.92, 578,549.36 and 247,268 is: 341,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,295.92 : 578,549.36 = 247,268 : x
  2. Step 2: Convert to fraction form
    419,295.92/578,549.36 = 247,268/x
  3. Step 3: Cross multiply
    419,295.92x = 578,549.36 × 247,268
  4. Step 4: Simplify right side
    419,295.92x = 143,056,743,148.48
  5. Step 5: Solve for x
    x = 143,056,743,148.48/419,295.92
  6. Step 6: Final answer
    x = 341,183.25

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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.