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Finding the Fourth Proportional to 411,963.40, 618,309.60 and 243,272.80

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Solution

The fourth proportional to 411,963.40, 618,309.60 and 243,272.80 is: 365,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,963.40 : 618,309.60 = 243,272.80 : x
  2. Step 2: Convert to fraction form
    411,963.40/618,309.60 = 243,272.80/x
  3. Step 3: Cross multiply
    411,963.40x = 618,309.60 × 243,272.80
  4. Step 4: Simplify right side
    411,963.40x = 150,417,907,658.88
  5. Step 5: Solve for x
    x = 150,417,907,658.88/411,963.40
  6. Step 6: Final answer
    x = 365,124.44

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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.