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Finding the Fourth Proportional to 299,576.81, 413,413.90 and 163,610.80

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Solution

The fourth proportional to 299,576.81, 413,413.90 and 163,610.80 is: 225,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.81 : 413,413.90 = 163,610.80 : x
  2. Step 2: Convert to fraction form
    299,576.81/413,413.90 = 163,610.80/x
  3. Step 3: Cross multiply
    299,576.81x = 413,413.90 × 163,610.80
  4. Step 4: Simplify right side
    299,576.81x = 67,638,976,025.00
  5. Step 5: Solve for x
    x = 67,638,976,025.00/299,576.81
  6. Step 6: Final answer
    x = 225,781.75

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1.5x scale

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.