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Finding the Fourth Proportional to 404,200.20, 606,386.70 and 123,745.80

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Solution

The fourth proportional to 404,200.20, 606,386.70 and 123,745.80 is: 185,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,200.20 : 606,386.70 = 123,745.80 : x
  2. Step 2: Convert to fraction form
    404,200.20/606,386.70 = 123,745.80/x
  3. Step 3: Cross multiply
    404,200.20x = 606,386.70 × 123,745.80
  4. Step 4: Simplify right side
    404,200.20x = 75,037,807,300.86
  5. Step 5: Solve for x
    x = 75,037,807,300.86/404,200.20
  6. Step 6: Final answer
    x = 185,645.15

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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.