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Finding the Fourth Proportional to 205,370.40, 308,055.60 and 148,945.80

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Solution

The fourth proportional to 205,370.40, 308,055.60 and 148,945.80 is: 223,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,370.40 : 308,055.60 = 148,945.80 : x
  2. Step 2: Convert to fraction form
    205,370.40/308,055.60 = 148,945.80/x
  3. Step 3: Cross multiply
    205,370.40x = 308,055.60 × 148,945.80
  4. Step 4: Simplify right side
    205,370.40x = 45,883,587,786.48
  5. Step 5: Solve for x
    x = 45,883,587,786.48/205,370.40
  6. Step 6: Final answer
    x = 223,418.70

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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.