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Finding the Fourth Proportional to 481,138.40, 721,880.40 and 200,741.60

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Solution

The fourth proportional to 481,138.40, 721,880.40 and 200,741.60 is: 301,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,138.40 : 721,880.40 = 200,741.60 : x
  2. Step 2: Convert to fraction form
    481,138.40/721,880.40 = 200,741.60/x
  3. Step 3: Cross multiply
    481,138.40x = 721,880.40 × 200,741.60
  4. Step 4: Simplify right side
    481,138.40x = 144,911,426,504.64
  5. Step 5: Solve for x
    x = 144,911,426,504.64/481,138.40
  6. Step 6: Final answer
    x = 301,184.50

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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.