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Finding the Fourth Proportional to 440,146.80, 661,629.60 and 408,945.60

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Solution

The fourth proportional to 440,146.80, 661,629.60 and 408,945.60 is: 614,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,146.80 : 661,629.60 = 408,945.60 : x
  2. Step 2: Convert to fraction form
    440,146.80/661,629.60 = 408,945.60/x
  3. Step 3: Cross multiply
    440,146.80x = 661,629.60 × 408,945.60
  4. Step 4: Simplify right side
    440,146.80x = 270,570,513,749.76
  5. Step 5: Solve for x
    x = 270,570,513,749.76/440,146.80
  6. Step 6: Final answer
    x = 614,727.89

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1.5x scale

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.