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Finding the Fourth Proportional to 408,996.75, 613,673.73 and 142,948.20

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Solution

The fourth proportional to 408,996.75, 613,673.73 and 142,948.20 is: 214,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,996.75 : 613,673.73 = 142,948.20 : x
  2. Step 2: Convert to fraction form
    408,996.75/613,673.73 = 142,948.20/x
  3. Step 3: Cross multiply
    408,996.75x = 613,673.73 × 142,948.20
  4. Step 4: Simplify right side
    408,996.75x = 87,723,555,090.79
  5. Step 5: Solve for x
    x = 87,723,555,090.79/408,996.75
  6. Step 6: Final answer
    x = 214,484.72

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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.