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Finding the Fourth Proportional to 399,973.64, 599,991.36 and 133,735.28

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Solution

The fourth proportional to 399,973.64, 599,991.36 and 133,735.28 is: 200,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,973.64 : 599,991.36 = 133,735.28 : x
  2. Step 2: Convert to fraction form
    399,973.64/599,991.36 = 133,735.28/x
  3. Step 3: Cross multiply
    399,973.64x = 599,991.36 × 133,735.28
  4. Step 4: Simplify right side
    399,973.64x = 80,240,012,527.18
  5. Step 5: Solve for x
    x = 80,240,012,527.18/399,973.64
  6. Step 6: Final answer
    x = 200,613.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.