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Finding the Fourth Proportional to 411,868.50, 618,239.42 and 364,789.20

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Solution

The fourth proportional to 411,868.50, 618,239.42 and 364,789.20 is: 547,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,868.50 : 618,239.42 = 364,789.20 : x
  2. Step 2: Convert to fraction form
    411,868.50/618,239.42 = 364,789.20/x
  3. Step 3: Cross multiply
    411,868.50x = 618,239.42 × 364,789.20
  4. Step 4: Simplify right side
    411,868.50x = 225,527,065,292.68
  5. Step 5: Solve for x
    x = 225,527,065,292.68/411,868.50
  6. Step 6: Final answer
    x = 547,570.57

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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.