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Finding the Fourth Proportional to 411,844.80, 618,112.80 and 201,662.40

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Solution

The fourth proportional to 411,844.80, 618,112.80 and 201,662.40 is: 302,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,844.80 : 618,112.80 = 201,662.40 : x
  2. Step 2: Convert to fraction form
    411,844.80/618,112.80 = 201,662.40/x
  3. Step 3: Cross multiply
    411,844.80x = 618,112.80 × 201,662.40
  4. Step 4: Simplify right side
    411,844.80x = 124,650,110,718.72
  5. Step 5: Solve for x
    x = 124,650,110,718.72/411,844.80
  6. Step 6: Final answer
    x = 302,662.83

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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.