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Finding the Fourth Proportional to 404,057.80, 606,029.10 and 137,830.60

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Solution

The fourth proportional to 404,057.80, 606,029.10 and 137,830.60 is: 206,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,057.80 : 606,029.10 = 137,830.60 : x
  2. Step 2: Convert to fraction form
    404,057.80/606,029.10 = 137,830.60/x
  3. Step 3: Cross multiply
    404,057.80x = 606,029.10 × 137,830.60
  4. Step 4: Simplify right side
    404,057.80x = 83,529,354,470.46
  5. Step 5: Solve for x
    x = 83,529,354,470.46/404,057.80
  6. Step 6: Final answer
    x = 206,726.25

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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.