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Finding the Fourth Proportional to 231,464.40, 319,476.60 and 145,474.80

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Solution

The fourth proportional to 231,464.40, 319,476.60 and 145,474.80 is: 200,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464.40 : 319,476.60 = 145,474.80 : x
  2. Step 2: Convert to fraction form
    231,464.40/319,476.60 = 145,474.80/x
  3. Step 3: Cross multiply
    231,464.40x = 319,476.60 × 145,474.80
  4. Step 4: Simplify right side
    231,464.40x = 46,475,794,489.68
  5. Step 5: Solve for x
    x = 46,475,794,489.68/231,464.40
  6. Step 6: Final answer
    x = 200,790.25

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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.