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Finding the Fourth Proportional to 411,963.84, 618,062.40 and 243,633.60

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Solution

The fourth proportional to 411,963.84, 618,062.40 and 243,633.60 is: 365,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,963.84 : 618,062.40 = 243,633.60 : x
  2. Step 2: Convert to fraction form
    411,963.84/618,062.40 = 243,633.60/x
  3. Step 3: Cross multiply
    411,963.84x = 618,062.40 × 243,633.60
  4. Step 4: Simplify right side
    411,963.84x = 150,580,767,536.64
  5. Step 5: Solve for x
    x = 150,580,767,536.64/411,963.84
  6. Step 6: Final answer
    x = 365,519.38

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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.