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Finding the Fourth Proportional to 443,509.63, 611,829.25 and 290,480.48

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Solution

The fourth proportional to 443,509.63, 611,829.25 and 290,480.48 is: 400,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,509.63 : 611,829.25 = 290,480.48 : x
  2. Step 2: Convert to fraction form
    443,509.63/611,829.25 = 290,480.48/x
  3. Step 3: Cross multiply
    443,509.63x = 611,829.25 × 290,480.48
  4. Step 4: Simplify right side
    443,509.63x = 177,724,452,727.05
  5. Step 5: Solve for x
    x = 177,724,452,727.05/443,509.63
  6. Step 6: Final answer
    x = 400,722.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.